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Finding the Third Proportional to 124,326 and 271,424.50

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Solution

The third proportional to 124,326 and 271,424.50 is: 592,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,326 : 271,424.50 = 271,424.50 : x
  2. Step 2: Convert to fraction form
    124,326/271,424.50 = 271,424.50/x
  3. Step 3: Cross multiply
    124,326x = 271,424.50 × 271,424.50
  4. Step 4: Simplify right side
    124,326x = 73,671,259,200.25
  5. Step 5: Solve for x
    x = 73,671,259,200.25/124,326
  6. Step 6: Final answer
    x = 592,565.19

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Why These Related Problems?

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