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Finding the Third Proportional to 227,412 and 348,072

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Solution

The third proportional to 227,412 and 348,072 is: 532,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,412 : 348,072 = 348,072 : x
  2. Step 2: Convert to fraction form
    227,412/348,072 = 348,072/x
  3. Step 3: Cross multiply
    227,412x = 348,072 × 348,072
  4. Step 4: Simplify right side
    227,412x = 121,154,117,184
  5. Step 5: Solve for x
    x = 121,154,117,184/227,412
  6. Step 6: Final answer
    x = 532,751.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.