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Finding the Third Proportional to 183,789 and 249,432.75

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Solution

The third proportional to 183,789 and 249,432.75 is: 338,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,789 : 249,432.75 = 249,432.75 : x
  2. Step 2: Convert to fraction form
    183,789/249,432.75 = 249,432.75/x
  3. Step 3: Cross multiply
    183,789x = 249,432.75 × 249,432.75
  4. Step 4: Simplify right side
    183,789x = 62,216,696,772.56
  5. Step 5: Solve for x
    x = 62,216,696,772.56/183,789
  6. Step 6: Final answer
    x = 338,522.42

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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.