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Finding the Third Proportional to 158,124 and 345,432

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Solution

The third proportional to 158,124 and 345,432 is: 754,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,124 : 345,432 = 345,432 : x
  2. Step 2: Convert to fraction form
    158,124/345,432 = 345,432/x
  3. Step 3: Cross multiply
    158,124x = 345,432 × 345,432
  4. Step 4: Simplify right side
    158,124x = 119,323,266,624
  5. Step 5: Solve for x
    x = 119,323,266,624/158,124
  6. Step 6: Final answer
    x = 754,618.32

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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.