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Finding the Third Proportional to 191,065.50 and 413,262

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Solution

The third proportional to 191,065.50 and 413,262 is: 893,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,065.50 : 413,262 = 413,262 : x
  2. Step 2: Convert to fraction form
    191,065.50/413,262 = 413,262/x
  3. Step 3: Cross multiply
    191,065.50x = 413,262 × 413,262
  4. Step 4: Simplify right side
    191,065.50x = 170,785,480,644
  5. Step 5: Solve for x
    x = 170,785,480,644/191,065.50
  6. Step 6: Final answer
    x = 893,858.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.