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Finding the Third Proportional to 145,290 and 313,530

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Solution

The third proportional to 145,290 and 313,530 is: 676,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,290 : 313,530 = 313,530 : x
  2. Step 2: Convert to fraction form
    145,290/313,530 = 313,530/x
  3. Step 3: Cross multiply
    145,290x = 313,530 × 313,530
  4. Step 4: Simplify right side
    145,290x = 98,301,060,900
  5. Step 5: Solve for x
    x = 98,301,060,900/145,290
  6. Step 6: Final answer
    x = 676,585.18

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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.