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Finding the Third Proportional to 127,853 and 278,014

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Solution

The third proportional to 127,853 and 278,014 is: 604,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,853 : 278,014 = 278,014 : x
  2. Step 2: Convert to fraction form
    127,853/278,014 = 278,014/x
  3. Step 3: Cross multiply
    127,853x = 278,014 × 278,014
  4. Step 4: Simplify right side
    127,853x = 77,291,784,196
  5. Step 5: Solve for x
    x = 77,291,784,196/127,853
  6. Step 6: Final answer
    x = 604,536.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.