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Finding the Third Proportional to 183,944 and 392,332

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Solution

The third proportional to 183,944 and 392,332 is: 836,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,944 : 392,332 = 392,332 : x
  2. Step 2: Convert to fraction form
    183,944/392,332 = 392,332/x
  3. Step 3: Cross multiply
    183,944x = 392,332 × 392,332
  4. Step 4: Simplify right side
    183,944x = 153,924,398,224
  5. Step 5: Solve for x
    x = 153,924,398,224/183,944
  6. Step 6: Final answer
    x = 836,800.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.