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Finding the Third Proportional to 223,200.75 and 319,050.75

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Solution

The third proportional to 223,200.75 and 319,050.75 is: 456,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.75 : 319,050.75 = 319,050.75 : x
  2. Step 2: Convert to fraction form
    223,200.75/319,050.75 = 319,050.75/x
  3. Step 3: Cross multiply
    223,200.75x = 319,050.75 × 319,050.75
  4. Step 4: Simplify right side
    223,200.75x = 101,793,381,075.56
  5. Step 5: Solve for x
    x = 101,793,381,075.56/223,200.75
  6. Step 6: Final answer
    x = 456,062.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.