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Finding the Third Proportional to 229,552 and 335,196

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Solution

The third proportional to 229,552 and 335,196 is: 489,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,552 : 335,196 = 335,196 : x
  2. Step 2: Convert to fraction form
    229,552/335,196 = 335,196/x
  3. Step 3: Cross multiply
    229,552x = 335,196 × 335,196
  4. Step 4: Simplify right side
    229,552x = 112,356,358,416
  5. Step 5: Solve for x
    x = 112,356,358,416/229,552
  6. Step 6: Final answer
    x = 489,459.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.