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Finding the Third Proportional to 122,530.13 and 265,416.38

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Solution

The third proportional to 122,530.13 and 265,416.38 is: 574,926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,530.13 : 265,416.38 = 265,416.38 : x
  2. Step 2: Convert to fraction form
    122,530.13/265,416.38 = 265,416.38/x
  3. Step 3: Cross multiply
    122,530.13x = 265,416.38 × 265,416.38
  4. Step 4: Simplify right side
    122,530.13x = 70,445,852,118.14
  5. Step 5: Solve for x
    x = 70,445,852,118.14/122,530.13
  6. Step 6: Final answer
    x = 574,926.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.