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Finding the Third Proportional to 191,020 and 258,502

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Solution

The third proportional to 191,020 and 258,502 is: 349,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,020 : 258,502 = 258,502 : x
  2. Step 2: Convert to fraction form
    191,020/258,502 = 258,502/x
  3. Step 3: Cross multiply
    191,020x = 258,502 × 258,502
  4. Step 4: Simplify right side
    191,020x = 66,823,284,004
  5. Step 5: Solve for x
    x = 66,823,284,004/191,020
  6. Step 6: Final answer
    x = 349,823.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.