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Finding the Third Proportional to 159,342 and 346,776

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Solution

The third proportional to 159,342 and 346,776 is: 754,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,342 : 346,776 = 346,776 : x
  2. Step 2: Convert to fraction form
    159,342/346,776 = 346,776/x
  3. Step 3: Cross multiply
    159,342x = 346,776 × 346,776
  4. Step 4: Simplify right side
    159,342x = 120,253,594,176
  5. Step 5: Solve for x
    x = 120,253,594,176/159,342
  6. Step 6: Final answer
    x = 754,688.62

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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.