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Finding the Third Proportional to 145,413 and 313,740

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Solution

The third proportional to 145,413 and 313,740 is: 676,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,413 : 313,740 = 313,740 : x
  2. Step 2: Convert to fraction form
    145,413/313,740 = 313,740/x
  3. Step 3: Cross multiply
    145,413x = 313,740 × 313,740
  4. Step 4: Simplify right side
    145,413x = 98,432,787,600
  5. Step 5: Solve for x
    x = 98,432,787,600/145,413
  6. Step 6: Final answer
    x = 676,918.76

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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.