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Finding the Third Proportional to 139,902 and 302,140.50

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Solution

The third proportional to 139,902 and 302,140.50 is: 652,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,902 : 302,140.50 = 302,140.50 : x
  2. Step 2: Convert to fraction form
    139,902/302,140.50 = 302,140.50/x
  3. Step 3: Cross multiply
    139,902x = 302,140.50 × 302,140.50
  4. Step 4: Simplify right side
    139,902x = 91,288,881,740.25
  5. Step 5: Solve for x
    x = 91,288,881,740.25/139,902
  6. Step 6: Final answer
    x = 652,520.21

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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.