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Finding the Third Proportional to 161,459 and 249,001

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Solution

The third proportional to 161,459 and 249,001 is: 384,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,459 : 249,001 = 249,001 : x
  2. Step 2: Convert to fraction form
    161,459/249,001 = 249,001/x
  3. Step 3: Cross multiply
    161,459x = 249,001 × 249,001
  4. Step 4: Simplify right side
    161,459x = 62,001,498,001
  5. Step 5: Solve for x
    x = 62,001,498,001/161,459
  6. Step 6: Final answer
    x = 384,007.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.