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Finding the Third Proportional to 185,042 and 411,492

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Solution

The third proportional to 185,042 and 411,492 is: 915,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,042 : 411,492 = 411,492 : x
  2. Step 2: Convert to fraction form
    185,042/411,492 = 411,492/x
  3. Step 3: Cross multiply
    185,042x = 411,492 × 411,492
  4. Step 4: Simplify right side
    185,042x = 169,325,666,064
  5. Step 5: Solve for x
    x = 169,325,666,064/185,042
  6. Step 6: Final answer
    x = 915,066.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.