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Finding the Third Proportional to 128,534.07 and 278,519.53

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Solution

The third proportional to 128,534.07 and 278,519.53 is: 603,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,534.07 : 278,519.53 = 278,519.53 : x
  2. Step 2: Convert to fraction form
    128,534.07/278,519.53 = 278,519.53/x
  3. Step 3: Cross multiply
    128,534.07x = 278,519.53 × 278,519.53
  4. Step 4: Simplify right side
    128,534.07x = 77,573,127,655.77
  5. Step 5: Solve for x
    x = 77,573,127,655.77/128,534.07
  6. Step 6: Final answer
    x = 603,521.93

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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.