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Finding the Third Proportional to 200,585 and 437,148

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Solution

The third proportional to 200,585 and 437,148 is: 952,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,585 : 437,148 = 437,148 : x
  2. Step 2: Convert to fraction form
    200,585/437,148 = 437,148/x
  3. Step 3: Cross multiply
    200,585x = 437,148 × 437,148
  4. Step 4: Simplify right side
    200,585x = 191,098,373,904
  5. Step 5: Solve for x
    x = 191,098,373,904/200,585
  6. Step 6: Final answer
    x = 952,705.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.