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Finding the Third Proportional to 158,410.50 and 243,159

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Solution

The third proportional to 158,410.50 and 243,159 is: 373,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,410.50 : 243,159 = 243,159 : x
  2. Step 2: Convert to fraction form
    158,410.50/243,159 = 243,159/x
  3. Step 3: Cross multiply
    158,410.50x = 243,159 × 243,159
  4. Step 4: Simplify right side
    158,410.50x = 59,126,299,281
  5. Step 5: Solve for x
    x = 59,126,299,281/158,410.50
  6. Step 6: Final answer
    x = 373,247.35

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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.