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Finding the Third Proportional to 158,127 and 345,438

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Solution

The third proportional to 158,127 and 345,438 is: 754,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,127 : 345,438 = 345,438 : x
  2. Step 2: Convert to fraction form
    158,127/345,438 = 345,438/x
  3. Step 3: Cross multiply
    158,127x = 345,438 × 345,438
  4. Step 4: Simplify right side
    158,127x = 119,327,411,844
  5. Step 5: Solve for x
    x = 119,327,411,844/158,127
  6. Step 6: Final answer
    x = 754,630.21

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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.