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Finding the Third Proportional to 232,852.13 and 364,501.88

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Solution

The third proportional to 232,852.13 and 364,501.88 is: 570,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,852.13 : 364,501.88 = 364,501.88 : x
  2. Step 2: Convert to fraction form
    232,852.13/364,501.88 = 364,501.88/x
  3. Step 3: Cross multiply
    232,852.13x = 364,501.88 × 364,501.88
  4. Step 4: Simplify right side
    232,852.13x = 132,861,616,878.52
  5. Step 5: Solve for x
    x = 132,861,616,878.52/232,852.13
  6. Step 6: Final answer
    x = 570,583.66

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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.