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Finding the Third Proportional to 191,664 and 296,473.50

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Solution

The third proportional to 191,664 and 296,473.50 is: 458,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,664 : 296,473.50 = 296,473.50 : x
  2. Step 2: Convert to fraction form
    191,664/296,473.50 = 296,473.50/x
  3. Step 3: Cross multiply
    191,664x = 296,473.50 × 296,473.50
  4. Step 4: Simplify right side
    191,664x = 87,896,536,202.25
  5. Step 5: Solve for x
    x = 87,896,536,202.25/191,664
  6. Step 6: Final answer
    x = 458,597.00

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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.