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Finding the Third Proportional to 127,544.63 and 278,402.06

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Solution

The third proportional to 127,544.63 and 278,402.06 is: 607,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,544.63 : 278,402.06 = 278,402.06 : x
  2. Step 2: Convert to fraction form
    127,544.63/278,402.06 = 278,402.06/x
  3. Step 3: Cross multiply
    127,544.63x = 278,402.06 × 278,402.06
  4. Step 4: Simplify right side
    127,544.63x = 77,507,708,404.25
  5. Step 5: Solve for x
    x = 77,507,708,404.25/127,544.63
  6. Step 6: Final answer
    x = 607,690.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.