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Finding the Third Proportional to 130,748 and 277,188

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Solution

The third proportional to 130,748 and 277,188 is: 587,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,748 : 277,188 = 277,188 : x
  2. Step 2: Convert to fraction form
    130,748/277,188 = 277,188/x
  3. Step 3: Cross multiply
    130,748x = 277,188 × 277,188
  4. Step 4: Simplify right side
    130,748x = 76,833,187,344
  5. Step 5: Solve for x
    x = 76,833,187,344/130,748
  6. Step 6: Final answer
    x = 587,643.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.