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Finding the Third Proportional to 191,898 and 287,869.50

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Solution

The third proportional to 191,898 and 287,869.50 is: 431,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,898 : 287,869.50 = 287,869.50 : x
  2. Step 2: Convert to fraction form
    191,898/287,869.50 = 287,869.50/x
  3. Step 3: Cross multiply
    191,898x = 287,869.50 × 287,869.50
  4. Step 4: Simplify right side
    191,898x = 82,868,849,030.25
  5. Step 5: Solve for x
    x = 82,868,849,030.25/191,898
  6. Step 6: Final answer
    x = 431,838.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.