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Finding the Third Proportional to 127,359 and 276,829.50

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Solution

The third proportional to 127,359 and 276,829.50 is: 601,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,359 : 276,829.50 = 276,829.50 : x
  2. Step 2: Convert to fraction form
    127,359/276,829.50 = 276,829.50/x
  3. Step 3: Cross multiply
    127,359x = 276,829.50 × 276,829.50
  4. Step 4: Simplify right side
    127,359x = 76,634,572,070.25
  5. Step 5: Solve for x
    x = 76,634,572,070.25/127,359
  6. Step 6: Final answer
    x = 601,720.90

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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.