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Finding the Third Proportional to 138,031.59 and 295,746.19

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Solution

The third proportional to 138,031.59 and 295,746.19 is: 633,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,031.59 : 295,746.19 = 295,746.19 : x
  2. Step 2: Convert to fraction form
    138,031.59/295,746.19 = 295,746.19/x
  3. Step 3: Cross multiply
    138,031.59x = 295,746.19 × 295,746.19
  4. Step 4: Simplify right side
    138,031.59x = 87,465,807,420.79
  5. Step 5: Solve for x
    x = 87,465,807,420.79/138,031.59
  6. Step 6: Final answer
    x = 633,665.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.