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Finding the Third Proportional to 156,432 and 341,547

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Solution

The third proportional to 156,432 and 341,547 is: 745,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,432 : 341,547 = 341,547 : x
  2. Step 2: Convert to fraction form
    156,432/341,547 = 341,547/x
  3. Step 3: Cross multiply
    156,432x = 341,547 × 341,547
  4. Step 4: Simplify right side
    156,432x = 116,654,353,209
  5. Step 5: Solve for x
    x = 116,654,353,209/156,432
  6. Step 6: Final answer
    x = 745,719.25

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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.