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Finding the Third Proportional to 213,882 and 299,011.50

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Solution

The third proportional to 213,882 and 299,011.50 is: 418,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,882 : 299,011.50 = 299,011.50 : x
  2. Step 2: Convert to fraction form
    213,882/299,011.50 = 299,011.50/x
  3. Step 3: Cross multiply
    213,882x = 299,011.50 × 299,011.50
  4. Step 4: Simplify right side
    213,882x = 89,407,877,132.25
  5. Step 5: Solve for x
    x = 89,407,877,132.25/213,882
  6. Step 6: Final answer
    x = 418,024.32

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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.