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Finding the Third Proportional to 146,288 and 314,776

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Solution

The third proportional to 146,288 and 314,776 is: 677,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,288 : 314,776 = 314,776 : x
  2. Step 2: Convert to fraction form
    146,288/314,776 = 314,776/x
  3. Step 3: Cross multiply
    146,288x = 314,776 × 314,776
  4. Step 4: Simplify right side
    146,288x = 99,083,930,176
  5. Step 5: Solve for x
    x = 99,083,930,176/146,288
  6. Step 6: Final answer
    x = 677,320.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.