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Finding the Third Proportional to 144,392 and 230,412

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Solution

The third proportional to 144,392 and 230,412 is: 367,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,392 : 230,412 = 230,412 : x
  2. Step 2: Convert to fraction form
    144,392/230,412 = 230,412/x
  3. Step 3: Cross multiply
    144,392x = 230,412 × 230,412
  4. Step 4: Simplify right side
    144,392x = 53,089,689,744
  5. Step 5: Solve for x
    x = 53,089,689,744/144,392
  6. Step 6: Final answer
    x = 367,677.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.