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Finding the Third Proportional to 183,814.31 and 249,454.69

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Solution

The third proportional to 183,814.31 and 249,454.69 is: 338,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,814.31 : 249,454.69 = 249,454.69 : x
  2. Step 2: Convert to fraction form
    183,814.31/249,454.69 = 249,454.69/x
  3. Step 3: Cross multiply
    183,814.31x = 249,454.69 × 249,454.69
  4. Step 4: Simplify right side
    183,814.31x = 62,227,641,115.72
  5. Step 5: Solve for x
    x = 62,227,641,115.72/183,814.31
  6. Step 6: Final answer
    x = 338,535.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.