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Finding the Third Proportional to 218,731 and 312,784

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Solution

The third proportional to 218,731 and 312,784 is: 447,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,731 : 312,784 = 312,784 : x
  2. Step 2: Convert to fraction form
    218,731/312,784 = 312,784/x
  3. Step 3: Cross multiply
    218,731x = 312,784 × 312,784
  4. Step 4: Simplify right side
    218,731x = 97,833,830,656
  5. Step 5: Solve for x
    x = 97,833,830,656/218,731
  6. Step 6: Final answer
    x = 447,279.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.