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Finding the Third Proportional to 158,466 and 345,363

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Solution

The third proportional to 158,466 and 345,363 is: 752,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,466 : 345,363 = 345,363 : x
  2. Step 2: Convert to fraction form
    158,466/345,363 = 345,363/x
  3. Step 3: Cross multiply
    158,466x = 345,363 × 345,363
  4. Step 4: Simplify right side
    158,466x = 119,275,601,769
  5. Step 5: Solve for x
    x = 119,275,601,769/158,466
  6. Step 6: Final answer
    x = 752,688.92

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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.