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Finding the Third Proportional to 145,462.50 and 223,509.38

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Solution

The third proportional to 145,462.50 and 223,509.38 is: 343,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,462.50 : 223,509.38 = 223,509.38 : x
  2. Step 2: Convert to fraction form
    145,462.50/223,509.38 = 223,509.38/x
  3. Step 3: Cross multiply
    145,462.50x = 223,509.38 × 223,509.38
  4. Step 4: Simplify right side
    145,462.50x = 49,956,440,712.89
  5. Step 5: Solve for x
    x = 49,956,440,712.89/145,462.50
  6. Step 6: Final answer
    x = 343,431.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.