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Finding the Third Proportional to 181,347 and 254,923.50

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Solution

The third proportional to 181,347 and 254,923.50 is: 358,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,347 : 254,923.50 = 254,923.50 : x
  2. Step 2: Convert to fraction form
    181,347/254,923.50 = 254,923.50/x
  3. Step 3: Cross multiply
    181,347x = 254,923.50 × 254,923.50
  4. Step 4: Simplify right side
    181,347x = 64,985,990,852.25
  5. Step 5: Solve for x
    x = 64,985,990,852.25/181,347
  6. Step 6: Final answer
    x = 358,351.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.