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Finding the Third Proportional to 163,071.50 and 249,470.75

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Solution

The third proportional to 163,071.50 and 249,470.75 is: 381,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,071.50 : 249,470.75 = 249,470.75 : x
  2. Step 2: Convert to fraction form
    163,071.50/249,470.75 = 249,470.75/x
  3. Step 3: Cross multiply
    163,071.50x = 249,470.75 × 249,470.75
  4. Step 4: Simplify right side
    163,071.50x = 62,235,655,105.56
  5. Step 5: Solve for x
    x = 62,235,655,105.56/163,071.50
  6. Step 6: Final answer
    x = 381,646.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.