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Finding the Third Proportional to 209,048 and 314,048

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Solution

The third proportional to 209,048 and 314,048 is: 471,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,048 : 314,048 = 314,048 : x
  2. Step 2: Convert to fraction form
    209,048/314,048 = 314,048/x
  3. Step 3: Cross multiply
    209,048x = 314,048 × 314,048
  4. Step 4: Simplify right side
    209,048x = 98,626,146,304
  5. Step 5: Solve for x
    x = 98,626,146,304/209,048
  6. Step 6: Final answer
    x = 471,787.08

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Why These Related Problems?

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