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Finding the Third Proportional to 160,166 and 249,938

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Solution

The third proportional to 160,166 and 249,938 is: 390,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,166 : 249,938 = 249,938 : x
  2. Step 2: Convert to fraction form
    160,166/249,938 = 249,938/x
  3. Step 3: Cross multiply
    160,166x = 249,938 × 249,938
  4. Step 4: Simplify right side
    160,166x = 62,469,003,844
  5. Step 5: Solve for x
    x = 62,469,003,844/160,166
  6. Step 6: Final answer
    x = 390,026.62

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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.