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Finding the Third Proportional to 177,516 and 249,688

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Solution

The third proportional to 177,516 and 249,688 is: 351,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,516 : 249,688 = 249,688 : x
  2. Step 2: Convert to fraction form
    177,516/249,688 = 249,688/x
  3. Step 3: Cross multiply
    177,516x = 249,688 × 249,688
  4. Step 4: Simplify right side
    177,516x = 62,344,097,344
  5. Step 5: Solve for x
    x = 62,344,097,344/177,516
  6. Step 6: Final answer
    x = 351,202.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.