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Finding the Third Proportional to 191,858.63 and 268,368.19

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Solution

The third proportional to 191,858.63 and 268,368.19 is: 375,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,858.63 : 268,368.19 = 268,368.19 : x
  2. Step 2: Convert to fraction form
    191,858.63/268,368.19 = 268,368.19/x
  3. Step 3: Cross multiply
    191,858.63x = 268,368.19 × 268,368.19
  4. Step 4: Simplify right side
    191,858.63x = 72,021,484,062.04
  5. Step 5: Solve for x
    x = 72,021,484,062.04/191,858.63
  6. Step 6: Final answer
    x = 375,388.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.