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Finding the Third Proportional to 160,232 and 249,099

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Solution

The third proportional to 160,232 and 249,099 is: 387,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,232 : 249,099 = 249,099 : x
  2. Step 2: Convert to fraction form
    160,232/249,099 = 249,099/x
  3. Step 3: Cross multiply
    160,232x = 249,099 × 249,099
  4. Step 4: Simplify right side
    160,232x = 62,050,311,801
  5. Step 5: Solve for x
    x = 62,050,311,801/160,232
  6. Step 6: Final answer
    x = 387,252.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.