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Finding the Third Proportional to 200,068.50 and 472,281

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Solution

The third proportional to 200,068.50 and 472,281 is: 1,114,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,068.50 : 472,281 = 472,281 : x
  2. Step 2: Convert to fraction form
    200,068.50/472,281 = 472,281/x
  3. Step 3: Cross multiply
    200,068.50x = 472,281 × 472,281
  4. Step 4: Simplify right side
    200,068.50x = 223,049,342,961
  5. Step 5: Solve for x
    x = 223,049,342,961/200,068.50
  6. Step 6: Final answer
    x = 1,114,864.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.