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Finding the Third Proportional to 134,972 and 312,468

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Solution

The third proportional to 134,972 and 312,468 is: 723,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,972 : 312,468 = 312,468 : x
  2. Step 2: Convert to fraction form
    134,972/312,468 = 312,468/x
  3. Step 3: Cross multiply
    134,972x = 312,468 × 312,468
  4. Step 4: Simplify right side
    134,972x = 97,636,251,024
  5. Step 5: Solve for x
    x = 97,636,251,024/134,972
  6. Step 6: Final answer
    x = 723,381.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.