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Finding the Third Proportional to 269,192.81 and 417,023.44

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Solution

The third proportional to 269,192.81 and 417,023.44 is: 646,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,192.81 : 417,023.44 = 417,023.44 : x
  2. Step 2: Convert to fraction form
    269,192.81/417,023.44 = 417,023.44/x
  3. Step 3: Cross multiply
    269,192.81x = 417,023.44 × 417,023.44
  4. Step 4: Simplify right side
    269,192.81x = 173,908,547,424.32
  5. Step 5: Solve for x
    x = 173,908,547,424.32/269,192.81
  6. Step 6: Final answer
    x = 646,037.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.