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Finding the Third Proportional to 140,388 and 210,513

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Solution

The third proportional to 140,388 and 210,513 is: 315,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,388 : 210,513 = 210,513 : x
  2. Step 2: Convert to fraction form
    140,388/210,513 = 210,513/x
  3. Step 3: Cross multiply
    140,388x = 210,513 × 210,513
  4. Step 4: Simplify right side
    140,388x = 44,315,723,169
  5. Step 5: Solve for x
    x = 44,315,723,169/140,388
  6. Step 6: Final answer
    x = 315,666.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.