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Finding the Third Proportional to 177,598 and 249,828

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Solution

The third proportional to 177,598 and 249,828 is: 351,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,598 : 249,828 = 249,828 : x
  2. Step 2: Convert to fraction form
    177,598/249,828 = 249,828/x
  3. Step 3: Cross multiply
    177,598x = 249,828 × 249,828
  4. Step 4: Simplify right side
    177,598x = 62,414,029,584
  5. Step 5: Solve for x
    x = 62,414,029,584/177,598
  6. Step 6: Final answer
    x = 351,434.30

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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.