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Finding the Third Proportional to 196,119 and 423,341

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Solution

The third proportional to 196,119 and 423,341 is: 913,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,119 : 423,341 = 423,341 : x
  2. Step 2: Convert to fraction form
    196,119/423,341 = 423,341/x
  3. Step 3: Cross multiply
    196,119x = 423,341 × 423,341
  4. Step 4: Simplify right side
    196,119x = 179,217,602,281
  5. Step 5: Solve for x
    x = 179,217,602,281/196,119
  6. Step 6: Final answer
    x = 913,820.70

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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.