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Finding the Third Proportional to 153,459.56 and 361,742.63

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Solution

The third proportional to 153,459.56 and 361,742.63 is: 852,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,459.56 : 361,742.63 = 361,742.63 : x
  2. Step 2: Convert to fraction form
    153,459.56/361,742.63 = 361,742.63/x
  3. Step 3: Cross multiply
    153,459.56x = 361,742.63 × 361,742.63
  4. Step 4: Simplify right side
    153,459.56x = 130,857,726,741.89
  5. Step 5: Solve for x
    x = 130,857,726,741.89/153,459.56
  6. Step 6: Final answer
    x = 852,717.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.