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Finding the Third Proportional to 230,370.75 and 360,595.55

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Solution

The third proportional to 230,370.75 and 360,595.55 is: 564,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,370.75 : 360,595.55 = 360,595.55 : x
  2. Step 2: Convert to fraction form
    230,370.75/360,595.55 = 360,595.55/x
  3. Step 3: Cross multiply
    230,370.75x = 360,595.55 × 360,595.55
  4. Step 4: Simplify right side
    230,370.75x = 130,029,148,426.08
  5. Step 5: Solve for x
    x = 130,029,148,426.08/230,370.75
  6. Step 6: Final answer
    x = 564,434.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.