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Finding the Third Proportional to 233,323.88 and 371,003.63

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Solution

The third proportional to 233,323.88 and 371,003.63 is: 589,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,323.88 : 371,003.63 = 371,003.63 : x
  2. Step 2: Convert to fraction form
    233,323.88/371,003.63 = 371,003.63/x
  3. Step 3: Cross multiply
    233,323.88x = 371,003.63 × 371,003.63
  4. Step 4: Simplify right side
    233,323.88x = 137,643,689,763.14
  5. Step 5: Solve for x
    x = 137,643,689,763.14/233,323.88
  6. Step 6: Final answer
    x = 589,925.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.