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Finding the Third Proportional to 169,872.19 and 249,826.78

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Solution

The third proportional to 169,872.19 and 249,826.78 is: 367,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,872.19 : 249,826.78 = 249,826.78 : x
  2. Step 2: Convert to fraction form
    169,872.19/249,826.78 = 249,826.78/x
  3. Step 3: Cross multiply
    169,872.19x = 249,826.78 × 249,826.78
  4. Step 4: Simplify right side
    169,872.19x = 62,413,420,629.74
  5. Step 5: Solve for x
    x = 62,413,420,629.74/169,872.19
  6. Step 6: Final answer
    x = 367,414.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.