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Finding the Third Proportional to 214,344 and 315,319.50

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Solution

The third proportional to 214,344 and 315,319.50 is: 463,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,344 : 315,319.50 = 315,319.50 : x
  2. Step 2: Convert to fraction form
    214,344/315,319.50 = 315,319.50/x
  3. Step 3: Cross multiply
    214,344x = 315,319.50 × 315,319.50
  4. Step 4: Simplify right side
    214,344x = 99,426,387,080.25
  5. Step 5: Solve for x
    x = 99,426,387,080.25/214,344
  6. Step 6: Final answer
    x = 463,863.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.