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Finding the Third Proportional to 105,770 and 230,476

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Solution

The third proportional to 105,770 and 230,476 is: 502,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,770 : 230,476 = 230,476 : x
  2. Step 2: Convert to fraction form
    105,770/230,476 = 230,476/x
  3. Step 3: Cross multiply
    105,770x = 230,476 × 230,476
  4. Step 4: Simplify right side
    105,770x = 53,119,186,576
  5. Step 5: Solve for x
    x = 53,119,186,576/105,770
  6. Step 6: Final answer
    x = 502,214.11

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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.