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Finding the Third Proportional to 130,148 and 277,468

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Solution

The third proportional to 130,148 and 277,468 is: 591,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,148 : 277,468 = 277,468 : x
  2. Step 2: Convert to fraction form
    130,148/277,468 = 277,468/x
  3. Step 3: Cross multiply
    130,148x = 277,468 × 277,468
  4. Step 4: Simplify right side
    130,148x = 76,988,491,024
  5. Step 5: Solve for x
    x = 76,988,491,024/130,148
  6. Step 6: Final answer
    x = 591,545.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.