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Finding the Third Proportional to 207,248 and 314,923

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Solution

The third proportional to 207,248 and 314,923 is: 478,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,248 : 314,923 = 314,923 : x
  2. Step 2: Convert to fraction form
    207,248/314,923 = 314,923/x
  3. Step 3: Cross multiply
    207,248x = 314,923 × 314,923
  4. Step 4: Simplify right side
    207,248x = 99,176,495,929
  5. Step 5: Solve for x
    x = 99,176,495,929/207,248
  6. Step 6: Final answer
    x = 478,540.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.