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Finding the Third Proportional to 197,005.61 and 288,482.53

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Solution

The third proportional to 197,005.61 and 288,482.53 is: 422,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,005.61 : 288,482.53 = 288,482.53 : x
  2. Step 2: Convert to fraction form
    197,005.61/288,482.53 = 288,482.53/x
  3. Step 3: Cross multiply
    197,005.61x = 288,482.53 × 288,482.53
  4. Step 4: Simplify right side
    197,005.61x = 83,222,169,146.08
  5. Step 5: Solve for x
    x = 83,222,169,146.08/197,005.61
  6. Step 6: Final answer
    x = 422,435.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.