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Finding the Third Proportional to 196,020 and 293,258

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Solution

The third proportional to 196,020 and 293,258 is: 438,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,020 : 293,258 = 293,258 : x
  2. Step 2: Convert to fraction form
    196,020/293,258 = 293,258/x
  3. Step 3: Cross multiply
    196,020x = 293,258 × 293,258
  4. Step 4: Simplify right side
    196,020x = 86,000,254,564
  5. Step 5: Solve for x
    x = 86,000,254,564/196,020
  6. Step 6: Final answer
    x = 438,732.04

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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.