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Finding the Third Proportional to 160,468.88 and 249,904.13

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Solution

The third proportional to 160,468.88 and 249,904.13 is: 389,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,468.88 : 249,904.13 = 249,904.13 : x
  2. Step 2: Convert to fraction form
    160,468.88/249,904.13 = 249,904.13/x
  3. Step 3: Cross multiply
    160,468.88x = 249,904.13 × 249,904.13
  4. Step 4: Simplify right side
    160,468.88x = 62,452,071,692.02
  5. Step 5: Solve for x
    x = 62,452,071,692.02/160,468.88
  6. Step 6: Final answer
    x = 389,184.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.