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Finding the Third Proportional to 223,060.50 and 359,079.75

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Solution

The third proportional to 223,060.50 and 359,079.75 is: 578,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,060.50 : 359,079.75 = 359,079.75 : x
  2. Step 2: Convert to fraction form
    223,060.50/359,079.75 = 359,079.75/x
  3. Step 3: Cross multiply
    223,060.50x = 359,079.75 × 359,079.75
  4. Step 4: Simplify right side
    223,060.50x = 128,938,266,860.06
  5. Step 5: Solve for x
    x = 128,938,266,860.06/223,060.50
  6. Step 6: Final answer
    x = 578,041.68

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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.