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Finding the Third Proportional to 191,315.06 and 417,077.06

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Solution

The third proportional to 191,315.06 and 417,077.06 is: 909,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,315.06 : 417,077.06 = 417,077.06 : x
  2. Step 2: Convert to fraction form
    191,315.06/417,077.06 = 417,077.06/x
  3. Step 3: Cross multiply
    191,315.06x = 417,077.06 × 417,077.06
  4. Step 4: Simplify right side
    191,315.06x = 173,953,276,063.63
  5. Step 5: Solve for x
    x = 173,953,276,063.63/191,315.06
  6. Step 6: Final answer
    x = 909,250.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.