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Finding the Third Proportional to 156,076.50 and 341,046

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Solution

The third proportional to 156,076.50 and 341,046 is: 745,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,076.50 : 341,046 = 341,046 : x
  2. Step 2: Convert to fraction form
    156,076.50/341,046 = 341,046/x
  3. Step 3: Cross multiply
    156,076.50x = 341,046 × 341,046
  4. Step 4: Simplify right side
    156,076.50x = 116,312,374,116
  5. Step 5: Solve for x
    x = 116,312,374,116/156,076.50
  6. Step 6: Final answer
    x = 745,226.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.