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Finding the Third Proportional to 145,341 and 301,617

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Solution

The third proportional to 145,341 and 301,617 is: 625,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,341 : 301,617 = 301,617 : x
  2. Step 2: Convert to fraction form
    145,341/301,617 = 301,617/x
  3. Step 3: Cross multiply
    145,341x = 301,617 × 301,617
  4. Step 4: Simplify right side
    145,341x = 90,972,814,689
  5. Step 5: Solve for x
    x = 90,972,814,689/145,341
  6. Step 6: Final answer
    x = 625,926.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.