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Finding the Third Proportional to 125,304 and 270,309

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Solution

The third proportional to 125,304 and 270,309 is: 583,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,304 : 270,309 = 270,309 : x
  2. Step 2: Convert to fraction form
    125,304/270,309 = 270,309/x
  3. Step 3: Cross multiply
    125,304x = 270,309 × 270,309
  4. Step 4: Simplify right side
    125,304x = 73,066,955,481
  5. Step 5: Solve for x
    x = 73,066,955,481/125,304
  6. Step 6: Final answer
    x = 583,117.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.