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Finding the Third Proportional to 191,521.13 and 289,948.50

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Solution

The third proportional to 191,521.13 and 289,948.50 is: 438,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,521.13 : 289,948.50 = 289,948.50 : x
  2. Step 2: Convert to fraction form
    191,521.13/289,948.50 = 289,948.50/x
  3. Step 3: Cross multiply
    191,521.13x = 289,948.50 × 289,948.50
  4. Step 4: Simplify right side
    191,521.13x = 84,070,132,652.25
  5. Step 5: Solve for x
    x = 84,070,132,652.25/191,521.13
  6. Step 6: Final answer
    x = 438,960.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.