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Finding the Third Proportional to 175,057 and 249,965

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Solution

The third proportional to 175,057 and 249,965 is: 356,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,057 : 249,965 = 249,965 : x
  2. Step 2: Convert to fraction form
    175,057/249,965 = 249,965/x
  3. Step 3: Cross multiply
    175,057x = 249,965 × 249,965
  4. Step 4: Simplify right side
    175,057x = 62,482,501,225
  5. Step 5: Solve for x
    x = 62,482,501,225/175,057
  6. Step 6: Final answer
    x = 356,926.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.