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Finding the Third Proportional to 249,877.13 and 365,443.88

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Solution

The third proportional to 249,877.13 and 365,443.88 is: 534,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,877.13 : 365,443.88 = 365,443.88 : x
  2. Step 2: Convert to fraction form
    249,877.13/365,443.88 = 365,443.88/x
  3. Step 3: Cross multiply
    249,877.13x = 365,443.88 × 365,443.88
  4. Step 4: Simplify right side
    249,877.13x = 133,549,225,775.02
  5. Step 5: Solve for x
    x = 133,549,225,775.02/249,877.13
  6. Step 6: Final answer
    x = 534,459.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.