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Finding the Third Proportional to 161,458 and 249,000

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Solution

The third proportional to 161,458 and 249,000 is: 384,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,458 : 249,000 = 249,000 : x
  2. Step 2: Convert to fraction form
    161,458/249,000 = 249,000/x
  3. Step 3: Cross multiply
    161,458x = 249,000 × 249,000
  4. Step 4: Simplify right side
    161,458x = 62,001,000,000
  5. Step 5: Solve for x
    x = 62,001,000,000/161,458
  6. Step 6: Final answer
    x = 384,006.99

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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.