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Finding the Third Proportional to 160,247 and 249,111

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Solution

The third proportional to 160,247 and 249,111 is: 387,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,247 : 249,111 = 249,111 : x
  2. Step 2: Convert to fraction form
    160,247/249,111 = 249,111/x
  3. Step 3: Cross multiply
    160,247x = 249,111 × 249,111
  4. Step 4: Simplify right side
    160,247x = 62,056,290,321
  5. Step 5: Solve for x
    x = 62,056,290,321/160,247
  6. Step 6: Final answer
    x = 387,253.99

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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.