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Finding the Third Proportional to 78,156.75 and 184,312.88

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Solution

The third proportional to 78,156.75 and 184,312.88 is: 434,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.75 : 184,312.88 = 184,312.88 : x
  2. Step 2: Convert to fraction form
    78,156.75/184,312.88 = 184,312.88/x
  3. Step 3: Cross multiply
    78,156.75x = 184,312.88 × 184,312.88
  4. Step 4: Simplify right side
    78,156.75x = 33,971,235,890.77
  5. Step 5: Solve for x
    x = 33,971,235,890.77/78,156.75
  6. Step 6: Final answer
    x = 434,655.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.