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Finding the Third Proportional to 170,008.50 and 249,828.75

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Solution

The third proportional to 170,008.50 and 249,828.75 is: 367,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,008.50 : 249,828.75 = 249,828.75 : x
  2. Step 2: Convert to fraction form
    170,008.50/249,828.75 = 249,828.75/x
  3. Step 3: Cross multiply
    170,008.50x = 249,828.75 × 249,828.75
  4. Step 4: Simplify right side
    170,008.50x = 62,414,404,326.56
  5. Step 5: Solve for x
    x = 62,414,404,326.56/170,008.50
  6. Step 6: Final answer
    x = 367,125.20

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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.