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Finding the Third Proportional to 144,700.50 and 312,793.50

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Solution

The third proportional to 144,700.50 and 312,793.50 is: 676,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,700.50 : 312,793.50 = 312,793.50 : x
  2. Step 2: Convert to fraction form
    144,700.50/312,793.50 = 312,793.50/x
  3. Step 3: Cross multiply
    144,700.50x = 312,793.50 × 312,793.50
  4. Step 4: Simplify right side
    144,700.50x = 97,839,773,642.25
  5. Step 5: Solve for x
    x = 97,839,773,642.25/144,700.50
  6. Step 6: Final answer
    x = 676,153.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.