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Finding the Third Proportional to 144,645.75 and 296,338.50

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Solution

The third proportional to 144,645.75 and 296,338.50 is: 607,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,645.75 : 296,338.50 = 296,338.50 : x
  2. Step 2: Convert to fraction form
    144,645.75/296,338.50 = 296,338.50/x
  3. Step 3: Cross multiply
    144,645.75x = 296,338.50 × 296,338.50
  4. Step 4: Simplify right side
    144,645.75x = 87,816,506,582.25
  5. Step 5: Solve for x
    x = 87,816,506,582.25/144,645.75
  6. Step 6: Final answer
    x = 607,114.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.