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Finding the Third Proportional to 140,748 and 210,864

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Solution

The third proportional to 140,748 and 210,864 is: 315,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,748 : 210,864 = 210,864 : x
  2. Step 2: Convert to fraction form
    140,748/210,864 = 210,864/x
  3. Step 3: Cross multiply
    140,748x = 210,864 × 210,864
  4. Step 4: Simplify right side
    140,748x = 44,463,626,496
  5. Step 5: Solve for x
    x = 44,463,626,496/140,748
  6. Step 6: Final answer
    x = 315,909.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.