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Finding the Third Proportional to 130,058.16 and 265,447.13

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Solution

The third proportional to 130,058.16 and 265,447.13 is: 541,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,058.16 : 265,447.13 = 265,447.13 : x
  2. Step 2: Convert to fraction form
    130,058.16/265,447.13 = 265,447.13/x
  3. Step 3: Cross multiply
    130,058.16x = 265,447.13 × 265,447.13
  4. Step 4: Simplify right side
    130,058.16x = 70,462,176,170.77
  5. Step 5: Solve for x
    x = 70,462,176,170.77/130,058.16
  6. Step 6: Final answer
    x = 541,774.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.