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Finding the Third Proportional to 223,020.38 and 359,095.50

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Solution

The third proportional to 223,020.38 and 359,095.50 is: 578,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,020.38 : 359,095.50 = 359,095.50 : x
  2. Step 2: Convert to fraction form
    223,020.38/359,095.50 = 359,095.50/x
  3. Step 3: Cross multiply
    223,020.38x = 359,095.50 × 359,095.50
  4. Step 4: Simplify right side
    223,020.38x = 128,949,578,120.25
  5. Step 5: Solve for x
    x = 128,949,578,120.25/223,020.38
  6. Step 6: Final answer
    x = 578,196.40

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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.