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Finding the Third Proportional to 127,830 and 242,538

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Solution

The third proportional to 127,830 and 242,538 is: 460,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,830 : 242,538 = 242,538 : x
  2. Step 2: Convert to fraction form
    127,830/242,538 = 242,538/x
  3. Step 3: Cross multiply
    127,830x = 242,538 × 242,538
  4. Step 4: Simplify right side
    127,830x = 58,824,681,444
  5. Step 5: Solve for x
    x = 58,824,681,444/127,830
  6. Step 6: Final answer
    x = 460,179.00

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.