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Finding the Third Proportional to 237,070.50 and 363,529.50

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Solution

The third proportional to 237,070.50 and 363,529.50 is: 557,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,070.50 : 363,529.50 = 363,529.50 : x
  2. Step 2: Convert to fraction form
    237,070.50/363,529.50 = 363,529.50/x
  3. Step 3: Cross multiply
    237,070.50x = 363,529.50 × 363,529.50
  4. Step 4: Simplify right side
    237,070.50x = 132,153,697,370.25
  5. Step 5: Solve for x
    x = 132,153,697,370.25/237,070.50
  6. Step 6: Final answer
    x = 557,444.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.