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Finding the Third Proportional to 196,101 and 293,382

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Solution

The third proportional to 196,101 and 293,382 is: 438,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,101 : 293,382 = 293,382 : x
  2. Step 2: Convert to fraction form
    196,101/293,382 = 293,382/x
  3. Step 3: Cross multiply
    196,101x = 293,382 × 293,382
  4. Step 4: Simplify right side
    196,101x = 86,072,997,924
  5. Step 5: Solve for x
    x = 86,072,997,924/196,101
  6. Step 6: Final answer
    x = 438,921.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.