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Finding the Third Proportional to 177,752 and 249,996

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Solution

The third proportional to 177,752 and 249,996 is: 351,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,752 : 249,996 = 249,996 : x
  2. Step 2: Convert to fraction form
    177,752/249,996 = 249,996/x
  3. Step 3: Cross multiply
    177,752x = 249,996 × 249,996
  4. Step 4: Simplify right side
    177,752x = 62,498,000,016
  5. Step 5: Solve for x
    x = 62,498,000,016/177,752
  6. Step 6: Final answer
    x = 351,602.23

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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.