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Finding the Third Proportional to 72,588.66 and 156,302.16

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Solution

The third proportional to 72,588.66 and 156,302.16 is: 336,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,588.66 : 156,302.16 = 156,302.16 : x
  2. Step 2: Convert to fraction form
    72,588.66/156,302.16 = 156,302.16/x
  3. Step 3: Cross multiply
    72,588.66x = 156,302.16 × 156,302.16
  4. Step 4: Simplify right side
    72,588.66x = 24,430,364,048.40
  5. Step 5: Solve for x
    x = 24,430,364,048.40/72,588.66
  6. Step 6: Final answer
    x = 336,558.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.