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Finding the Third Proportional to 143,775 and 302,423.50

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Solution

The third proportional to 143,775 and 302,423.50 is: 636,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,775 : 302,423.50 = 302,423.50 : x
  2. Step 2: Convert to fraction form
    143,775/302,423.50 = 302,423.50/x
  3. Step 3: Cross multiply
    143,775x = 302,423.50 × 302,423.50
  4. Step 4: Simplify right side
    143,775x = 91,459,973,352.25
  5. Step 5: Solve for x
    x = 91,459,973,352.25/143,775
  6. Step 6: Final answer
    x = 636,132.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.