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Finding the Third Proportional to 145,442 and 303,337

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Solution

The third proportional to 145,442 and 303,337 is: 632,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,442 : 303,337 = 303,337 : x
  2. Step 2: Convert to fraction form
    145,442/303,337 = 303,337/x
  3. Step 3: Cross multiply
    145,442x = 303,337 × 303,337
  4. Step 4: Simplify right side
    145,442x = 92,013,335,569
  5. Step 5: Solve for x
    x = 92,013,335,569/145,442
  6. Step 6: Final answer
    x = 632,646.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.