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Finding the Third Proportional to 88,263 and 183,424.50

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Solution

The third proportional to 88,263 and 183,424.50 is: 381,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,263 : 183,424.50 = 183,424.50 : x
  2. Step 2: Convert to fraction form
    88,263/183,424.50 = 183,424.50/x
  3. Step 3: Cross multiply
    88,263x = 183,424.50 × 183,424.50
  4. Step 4: Simplify right side
    88,263x = 33,644,547,200.25
  5. Step 5: Solve for x
    x = 33,644,547,200.25/88,263
  6. Step 6: Final answer
    x = 381,185.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.