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Finding the Third Proportional to 239,547.38 and 333,072

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Solution

The third proportional to 239,547.38 and 333,072 is: 463,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,547.38 : 333,072 = 333,072 : x
  2. Step 2: Convert to fraction form
    239,547.38/333,072 = 333,072/x
  3. Step 3: Cross multiply
    239,547.38x = 333,072 × 333,072
  4. Step 4: Simplify right side
    239,547.38x = 110,936,957,184
  5. Step 5: Solve for x
    x = 110,936,957,184/239,547.38
  6. Step 6: Final answer
    x = 463,110.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.