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Finding the Third Proportional to 177,588 and 249,790

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Solution

The third proportional to 177,588 and 249,790 is: 351,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,588 : 249,790 = 249,790 : x
  2. Step 2: Convert to fraction form
    177,588/249,790 = 249,790/x
  3. Step 3: Cross multiply
    177,588x = 249,790 × 249,790
  4. Step 4: Simplify right side
    177,588x = 62,395,044,100
  5. Step 5: Solve for x
    x = 62,395,044,100/177,588
  6. Step 6: Final answer
    x = 351,347.19

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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.