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Finding the Third Proportional to 156,750 and 343,547

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Solution

The third proportional to 156,750 and 343,547 is: 752,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,750 : 343,547 = 343,547 : x
  2. Step 2: Convert to fraction form
    156,750/343,547 = 343,547/x
  3. Step 3: Cross multiply
    156,750x = 343,547 × 343,547
  4. Step 4: Simplify right side
    156,750x = 118,024,541,209
  5. Step 5: Solve for x
    x = 118,024,541,209/156,750
  6. Step 6: Final answer
    x = 752,947.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.