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Finding the Third Proportional to 153,862.50 and 236,175

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Solution

The third proportional to 153,862.50 and 236,175 is: 362,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,862.50 : 236,175 = 236,175 : x
  2. Step 2: Convert to fraction form
    153,862.50/236,175 = 236,175/x
  3. Step 3: Cross multiply
    153,862.50x = 236,175 × 236,175
  4. Step 4: Simplify right side
    153,862.50x = 55,778,630,625
  5. Step 5: Solve for x
    x = 55,778,630,625/153,862.50
  6. Step 6: Final answer
    x = 362,522.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.