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Finding the Third Proportional to 215,018.93 and 341,597.25

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Solution

The third proportional to 215,018.93 and 341,597.25 is: 542,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,018.93 : 341,597.25 = 341,597.25 : x
  2. Step 2: Convert to fraction form
    215,018.93/341,597.25 = 341,597.25/x
  3. Step 3: Cross multiply
    215,018.93x = 341,597.25 × 341,597.25
  4. Step 4: Simplify right side
    215,018.93x = 116,688,681,207.56
  5. Step 5: Solve for x
    x = 116,688,681,207.56/215,018.93
  6. Step 6: Final answer
    x = 542,690.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.