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Finding the Third Proportional to 196,893 and 297,139

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Solution

The third proportional to 196,893 and 297,139 is: 448,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,893 : 297,139 = 297,139 : x
  2. Step 2: Convert to fraction form
    196,893/297,139 = 297,139/x
  3. Step 3: Cross multiply
    196,893x = 297,139 × 297,139
  4. Step 4: Simplify right side
    196,893x = 88,291,585,321
  5. Step 5: Solve for x
    x = 88,291,585,321/196,893
  6. Step 6: Final answer
    x = 448,424.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.