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Finding the Third Proportional to 177,527 and 249,703

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Solution

The third proportional to 177,527 and 249,703 is: 351,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,527 : 249,703 = 249,703 : x
  2. Step 2: Convert to fraction form
    177,527/249,703 = 249,703/x
  3. Step 3: Cross multiply
    177,527x = 249,703 × 249,703
  4. Step 4: Simplify right side
    177,527x = 62,351,588,209
  5. Step 5: Solve for x
    x = 62,351,588,209/177,527
  6. Step 6: Final answer
    x = 351,223.13

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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.