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Finding the Third Proportional to 127,264.61 and 263,337.01

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Solution

The third proportional to 127,264.61 and 263,337.01 is: 544,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,264.61 : 263,337.01 = 263,337.01 : x
  2. Step 2: Convert to fraction form
    127,264.61/263,337.01 = 263,337.01/x
  3. Step 3: Cross multiply
    127,264.61x = 263,337.01 × 263,337.01
  4. Step 4: Simplify right side
    127,264.61x = 69,346,381,740.96
  5. Step 5: Solve for x
    x = 69,346,381,740.96/127,264.61
  6. Step 6: Final answer
    x = 544,899.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.