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Finding the Third Proportional to 230,803 and 365,159

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Solution

The third proportional to 230,803 and 365,159 is: 577,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,803 : 365,159 = 365,159 : x
  2. Step 2: Convert to fraction form
    230,803/365,159 = 365,159/x
  3. Step 3: Cross multiply
    230,803x = 365,159 × 365,159
  4. Step 4: Simplify right side
    230,803x = 133,341,095,281
  5. Step 5: Solve for x
    x = 133,341,095,281/230,803
  6. Step 6: Final answer
    x = 577,726.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.