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Finding the Third Proportional to 125,484 and 270,516

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Solution

The third proportional to 125,484 and 270,516 is: 583,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,484 : 270,516 = 270,516 : x
  2. Step 2: Convert to fraction form
    125,484/270,516 = 270,516/x
  3. Step 3: Cross multiply
    125,484x = 270,516 × 270,516
  4. Step 4: Simplify right side
    125,484x = 73,178,906,256
  5. Step 5: Solve for x
    x = 73,178,906,256/125,484
  6. Step 6: Final answer
    x = 583,173.20

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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.