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Finding the Third Proportional to 249,233.63 and 386,650.13

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Solution

The third proportional to 249,233.63 and 386,650.13 is: 599,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,233.63 : 386,650.13 = 386,650.13 : x
  2. Step 2: Convert to fraction form
    249,233.63/386,650.13 = 386,650.13/x
  3. Step 3: Cross multiply
    249,233.63x = 386,650.13 × 386,650.13
  4. Step 4: Simplify right side
    249,233.63x = 149,498,319,162.52
  5. Step 5: Solve for x
    x = 149,498,319,162.52/249,233.63
  6. Step 6: Final answer
    x = 599,832.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.