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Finding the Third Proportional to 146,105 and 314,403

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Solution

The third proportional to 146,105 and 314,403 is: 676,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,105 : 314,403 = 314,403 : x
  2. Step 2: Convert to fraction form
    146,105/314,403 = 314,403/x
  3. Step 3: Cross multiply
    146,105x = 314,403 × 314,403
  4. Step 4: Simplify right side
    146,105x = 98,849,246,409
  5. Step 5: Solve for x
    x = 98,849,246,409/146,105
  6. Step 6: Final answer
    x = 676,563.06

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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.