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Finding the Third Proportional to 145,236 and 313,413

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Solution

The third proportional to 145,236 and 313,413 is: 676,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,236 : 313,413 = 313,413 : x
  2. Step 2: Convert to fraction form
    145,236/313,413 = 313,413/x
  3. Step 3: Cross multiply
    145,236x = 313,413 × 313,413
  4. Step 4: Simplify right side
    145,236x = 98,227,708,569
  5. Step 5: Solve for x
    x = 98,227,708,569/145,236
  6. Step 6: Final answer
    x = 676,331.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.