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Finding the Third Proportional to 195,058.13 and 306,064.13

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Solution

The third proportional to 195,058.13 and 306,064.13 is: 480,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,058.13 : 306,064.13 = 306,064.13 : x
  2. Step 2: Convert to fraction form
    195,058.13/306,064.13 = 306,064.13/x
  3. Step 3: Cross multiply
    195,058.13x = 306,064.13 × 306,064.13
  4. Step 4: Simplify right side
    195,058.13x = 93,675,248,612.02
  5. Step 5: Solve for x
    x = 93,675,248,612.02/195,058.13
  6. Step 6: Final answer
    x = 480,242.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.