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Finding the Third Proportional to 223,584 and 359,028

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Solution

The third proportional to 223,584 and 359,028 is: 576,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,584 : 359,028 = 359,028 : x
  2. Step 2: Convert to fraction form
    223,584/359,028 = 359,028/x
  3. Step 3: Cross multiply
    223,584x = 359,028 × 359,028
  4. Step 4: Simplify right side
    223,584x = 128,901,104,784
  5. Step 5: Solve for x
    x = 128,901,104,784/223,584
  6. Step 6: Final answer
    x = 576,522.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.