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Finding the Third Proportional to 171,816.19 and 249,933.09

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Solution

The third proportional to 171,816.19 and 249,933.09 is: 363,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,816.19 : 249,933.09 = 249,933.09 : x
  2. Step 2: Convert to fraction form
    171,816.19/249,933.09 = 249,933.09/x
  3. Step 3: Cross multiply
    171,816.19x = 249,933.09 × 249,933.09
  4. Step 4: Simplify right side
    171,816.19x = 62,466,551,351.45
  5. Step 5: Solve for x
    x = 62,466,551,351.45/171,816.19
  6. Step 6: Final answer
    x = 363,566.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.