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Finding the Third Proportional to 145,482 and 313,098

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Solution

The third proportional to 145,482 and 313,098 is: 673,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,482 : 313,098 = 313,098 : x
  2. Step 2: Convert to fraction form
    145,482/313,098 = 313,098/x
  3. Step 3: Cross multiply
    145,482x = 313,098 × 313,098
  4. Step 4: Simplify right side
    145,482x = 98,030,357,604
  5. Step 5: Solve for x
    x = 98,030,357,604/145,482
  6. Step 6: Final answer
    x = 673,831.52

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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.