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Finding the Third Proportional to 156,789 and 236,641.50

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Solution

The third proportional to 156,789 and 236,641.50 is: 357,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,789 : 236,641.50 = 236,641.50 : x
  2. Step 2: Convert to fraction form
    156,789/236,641.50 = 236,641.50/x
  3. Step 3: Cross multiply
    156,789x = 236,641.50 × 236,641.50
  4. Step 4: Simplify right side
    156,789x = 55,999,199,522.25
  5. Step 5: Solve for x
    x = 55,999,199,522.25/156,789
  6. Step 6: Final answer
    x = 357,162.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.