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Finding the Third Proportional to 233,482.50 and 342,476.44

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Solution

The third proportional to 233,482.50 and 342,476.44 is: 502,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,482.50 : 342,476.44 = 342,476.44 : x
  2. Step 2: Convert to fraction form
    233,482.50/342,476.44 = 342,476.44/x
  3. Step 3: Cross multiply
    233,482.50x = 342,476.44 × 342,476.44
  4. Step 4: Simplify right side
    233,482.50x = 117,290,110,242.69
  5. Step 5: Solve for x
    x = 117,290,110,242.69/233,482.50
  6. Step 6: Final answer
    x = 502,350.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.