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Finding the Third Proportional to 191,352 and 417,148

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Solution

The third proportional to 191,352 and 417,148 is: 909,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,352 : 417,148 = 417,148 : x
  2. Step 2: Convert to fraction form
    191,352/417,148 = 417,148/x
  3. Step 3: Cross multiply
    191,352x = 417,148 × 417,148
  4. Step 4: Simplify right side
    191,352x = 174,012,453,904
  5. Step 5: Solve for x
    x = 174,012,453,904/191,352
  6. Step 6: Final answer
    x = 909,384.04

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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.