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Finding the Third Proportional to 163,071 and 249,469.88

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Solution

The third proportional to 163,071 and 249,469.88 is: 381,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,071 : 249,469.88 = 249,469.88 : x
  2. Step 2: Convert to fraction form
    163,071/249,469.88 = 249,469.88/x
  3. Step 3: Cross multiply
    163,071x = 249,469.88 × 249,469.88
  4. Step 4: Simplify right side
    163,071x = 62,235,218,532.52
  5. Step 5: Solve for x
    x = 62,235,218,532.52/163,071
  6. Step 6: Final answer
    x = 381,644.92

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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.