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Finding the Third Proportional to 196,114 and 423,332

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Solution

The third proportional to 196,114 and 423,332 is: 913,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,114 : 423,332 = 423,332 : x
  2. Step 2: Convert to fraction form
    196,114/423,332 = 423,332/x
  3. Step 3: Cross multiply
    196,114x = 423,332 × 423,332
  4. Step 4: Simplify right side
    196,114x = 179,209,982,224
  5. Step 5: Solve for x
    x = 179,209,982,224/196,114
  6. Step 6: Final answer
    x = 913,805.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.