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Finding the Third Proportional to 151,575.05 and 237,776.45

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Solution

The third proportional to 151,575.05 and 237,776.45 is: 373,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,575.05 : 237,776.45 = 237,776.45 : x
  2. Step 2: Convert to fraction form
    151,575.05/237,776.45 = 237,776.45/x
  3. Step 3: Cross multiply
    151,575.05x = 237,776.45 × 237,776.45
  4. Step 4: Simplify right side
    151,575.05x = 56,537,639,803.08
  5. Step 5: Solve for x
    x = 56,537,639,803.08/151,575.05
  6. Step 6: Final answer
    x = 373,000.97

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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.