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Finding the Third Proportional to 249,814.13 and 380,937.94

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Solution

The third proportional to 249,814.13 and 380,937.94 is: 580,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,814.13 : 380,937.94 = 380,937.94 : x
  2. Step 2: Convert to fraction form
    249,814.13/380,937.94 = 380,937.94/x
  3. Step 3: Cross multiply
    249,814.13x = 380,937.94 × 380,937.94
  4. Step 4: Simplify right side
    249,814.13x = 145,113,712,226.75
  5. Step 5: Solve for x
    x = 145,113,712,226.75/249,814.13
  6. Step 6: Final answer
    x = 580,886.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.