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Finding the Third Proportional to 201,943 and 437,316

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Solution

The third proportional to 201,943 and 437,316 is: 947,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,943 : 437,316 = 437,316 : x
  2. Step 2: Convert to fraction form
    201,943/437,316 = 437,316/x
  3. Step 3: Cross multiply
    201,943x = 437,316 × 437,316
  4. Step 4: Simplify right side
    201,943x = 191,245,283,856
  5. Step 5: Solve for x
    x = 191,245,283,856/201,943
  6. Step 6: Final answer
    x = 947,026.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.