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Finding the Third Proportional to 221,574.38 and 322,673.06

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Solution

The third proportional to 221,574.38 and 322,673.06 is: 469,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,574.38 : 322,673.06 = 322,673.06 : x
  2. Step 2: Convert to fraction form
    221,574.38/322,673.06 = 322,673.06/x
  3. Step 3: Cross multiply
    221,574.38x = 322,673.06 × 322,673.06
  4. Step 4: Simplify right side
    221,574.38x = 104,117,905,263.13
  5. Step 5: Solve for x
    x = 104,117,905,263.13/221,574.38
  6. Step 6: Final answer
    x = 469,900.48

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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.