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Finding the Third Proportional to 233,644.50 and 371,152.13

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Solution

The third proportional to 233,644.50 and 371,152.13 is: 589,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,644.50 : 371,152.13 = 371,152.13 : x
  2. Step 2: Convert to fraction form
    233,644.50/371,152.13 = 371,152.13/x
  3. Step 3: Cross multiply
    233,644.50x = 371,152.13 × 371,152.13
  4. Step 4: Simplify right side
    233,644.50x = 137,753,899,892.02
  5. Step 5: Solve for x
    x = 137,753,899,892.02/233,644.50
  6. Step 6: Final answer
    x = 589,587.60

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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.