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Finding the Third Proportional to 158,604 and 233,525

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Solution

The third proportional to 158,604 and 233,525 is: 343,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,604 : 233,525 = 233,525 : x
  2. Step 2: Convert to fraction form
    158,604/233,525 = 233,525/x
  3. Step 3: Cross multiply
    158,604x = 233,525 × 233,525
  4. Step 4: Simplify right side
    158,604x = 54,533,925,625
  5. Step 5: Solve for x
    x = 54,533,925,625/158,604
  6. Step 6: Final answer
    x = 343,837.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.