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Finding the Third Proportional to 143,934.75 and 304,477.13

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Solution

The third proportional to 143,934.75 and 304,477.13 is: 644,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,934.75 : 304,477.13 = 304,477.13 : x
  2. Step 2: Convert to fraction form
    143,934.75/304,477.13 = 304,477.13/x
  3. Step 3: Cross multiply
    143,934.75x = 304,477.13 × 304,477.13
  4. Step 4: Simplify right side
    143,934.75x = 92,706,319,648.27
  5. Step 5: Solve for x
    x = 92,706,319,648.27/143,934.75
  6. Step 6: Final answer
    x = 644,085.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.