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Finding the Third Proportional to 100,358 and 236,900

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Solution

The third proportional to 100,358 and 236,900 is: 559,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,358 : 236,900 = 236,900 : x
  2. Step 2: Convert to fraction form
    100,358/236,900 = 236,900/x
  3. Step 3: Cross multiply
    100,358x = 236,900 × 236,900
  4. Step 4: Simplify right side
    100,358x = 56,121,610,000
  5. Step 5: Solve for x
    x = 56,121,610,000/100,358
  6. Step 6: Final answer
    x = 559,214.11

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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.