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Finding the Third Proportional to 191,391 and 402,374.25

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Solution

The third proportional to 191,391 and 402,374.25 is: 845,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,391 : 402,374.25 = 402,374.25 : x
  2. Step 2: Convert to fraction form
    191,391/402,374.25 = 402,374.25/x
  3. Step 3: Cross multiply
    191,391x = 402,374.25 × 402,374.25
  4. Step 4: Simplify right side
    191,391x = 161,905,037,063.06
  5. Step 5: Solve for x
    x = 161,905,037,063.06/191,391
  6. Step 6: Final answer
    x = 845,938.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.