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Finding the Third Proportional to 191,116 and 296,528

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Solution

The third proportional to 191,116 and 296,528 is: 460,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,116 : 296,528 = 296,528 : x
  2. Step 2: Convert to fraction form
    191,116/296,528 = 296,528/x
  3. Step 3: Cross multiply
    191,116x = 296,528 × 296,528
  4. Step 4: Simplify right side
    191,116x = 87,928,854,784
  5. Step 5: Solve for x
    x = 87,928,854,784/191,116
  6. Step 6: Final answer
    x = 460,081.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.