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Finding the Third Proportional to 191,312 and 417,070

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Solution

The third proportional to 191,312 and 417,070 is: 909,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,312 : 417,070 = 417,070 : x
  2. Step 2: Convert to fraction form
    191,312/417,070 = 417,070/x
  3. Step 3: Cross multiply
    191,312x = 417,070 × 417,070
  4. Step 4: Simplify right side
    191,312x = 173,947,384,900
  5. Step 5: Solve for x
    x = 173,947,384,900/191,312
  6. Step 6: Final answer
    x = 909,234.05

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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.