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Finding the Third Proportional to 168,769.50 and 249,459

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Solution

The third proportional to 168,769.50 and 249,459 is: 368,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,769.50 : 249,459 = 249,459 : x
  2. Step 2: Convert to fraction form
    168,769.50/249,459 = 249,459/x
  3. Step 3: Cross multiply
    168,769.50x = 249,459 × 249,459
  4. Step 4: Simplify right side
    168,769.50x = 62,229,792,681
  5. Step 5: Solve for x
    x = 62,229,792,681/168,769.50
  6. Step 6: Final answer
    x = 368,726.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.