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Finding the Third Proportional to 177,521.63 and 249,697.69

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Solution

The third proportional to 177,521.63 and 249,697.69 is: 351,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,521.63 : 249,697.69 = 249,697.69 : x
  2. Step 2: Convert to fraction form
    177,521.63/249,697.69 = 249,697.69/x
  3. Step 3: Cross multiply
    177,521.63x = 249,697.69 × 249,697.69
  4. Step 4: Simplify right side
    177,521.63x = 62,348,935,142.85
  5. Step 5: Solve for x
    x = 62,348,935,142.85/177,521.63
  6. Step 6: Final answer
    x = 351,218.82

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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.