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Finding the Third Proportional to 129,516 and 277,464

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Solution

The third proportional to 129,516 and 277,464 is: 594,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,516 : 277,464 = 277,464 : x
  2. Step 2: Convert to fraction form
    129,516/277,464 = 277,464/x
  3. Step 3: Cross multiply
    129,516x = 277,464 × 277,464
  4. Step 4: Simplify right side
    129,516x = 76,986,271,296
  5. Step 5: Solve for x
    x = 76,986,271,296/129,516
  6. Step 6: Final answer
    x = 594,415.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.