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Finding the Third Proportional to 144,669 and 230,206.50

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Solution

The third proportional to 144,669 and 230,206.50 is: 366,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,669 : 230,206.50 = 230,206.50 : x
  2. Step 2: Convert to fraction form
    144,669/230,206.50 = 230,206.50/x
  3. Step 3: Cross multiply
    144,669x = 230,206.50 × 230,206.50
  4. Step 4: Simplify right side
    144,669x = 52,995,032,642.25
  5. Step 5: Solve for x
    x = 52,995,032,642.25/144,669
  6. Step 6: Final answer
    x = 366,319.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.