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Finding the Third Proportional to 223,182.84 and 319,028.63

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Solution

The third proportional to 223,182.84 and 319,028.63 is: 456,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,182.84 : 319,028.63 = 319,028.63 : x
  2. Step 2: Convert to fraction form
    223,182.84/319,028.63 = 319,028.63/x
  3. Step 3: Cross multiply
    223,182.84x = 319,028.63 × 319,028.63
  4. Step 4: Simplify right side
    223,182.84x = 101,779,263,569.39
  5. Step 5: Solve for x
    x = 101,779,263,569.39/223,182.84
  6. Step 6: Final answer
    x = 456,035.34

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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.