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Finding the Third Proportional to 114,482 and 249,302

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Solution

The third proportional to 114,482 and 249,302 is: 542,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,482 : 249,302 = 249,302 : x
  2. Step 2: Convert to fraction form
    114,482/249,302 = 249,302/x
  3. Step 3: Cross multiply
    114,482x = 249,302 × 249,302
  4. Step 4: Simplify right side
    114,482x = 62,151,487,204
  5. Step 5: Solve for x
    x = 62,151,487,204/114,482
  6. Step 6: Final answer
    x = 542,893.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.