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Finding the Third Proportional to 163,864.50 and 249,217.75

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Solution

The third proportional to 163,864.50 and 249,217.75 is: 379,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,864.50 : 249,217.75 = 249,217.75 : x
  2. Step 2: Convert to fraction form
    163,864.50/249,217.75 = 249,217.75/x
  3. Step 3: Cross multiply
    163,864.50x = 249,217.75 × 249,217.75
  4. Step 4: Simplify right side
    163,864.50x = 62,109,486,915.06
  5. Step 5: Solve for x
    x = 62,109,486,915.06/163,864.50
  6. Step 6: Final answer
    x = 379,029.55

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