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Finding the Third Proportional to 147,932 and 235,643

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Solution

The third proportional to 147,932 and 235,643 is: 375,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,932 : 235,643 = 235,643 : x
  2. Step 2: Convert to fraction form
    147,932/235,643 = 235,643/x
  3. Step 3: Cross multiply
    147,932x = 235,643 × 235,643
  4. Step 4: Simplify right side
    147,932x = 55,527,623,449
  5. Step 5: Solve for x
    x = 55,527,623,449/147,932
  6. Step 6: Final answer
    x = 375,359.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.