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Finding the Third Proportional to 200,068 and 437,312

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Solution

The third proportional to 200,068 and 437,312 is: 955,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,068 : 437,312 = 437,312 : x
  2. Step 2: Convert to fraction form
    200,068/437,312 = 437,312/x
  3. Step 3: Cross multiply
    200,068x = 437,312 × 437,312
  4. Step 4: Simplify right side
    200,068x = 191,241,785,344
  5. Step 5: Solve for x
    x = 191,241,785,344/200,068
  6. Step 6: Final answer
    x = 955,883.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.