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Finding the Third Proportional to 153,139.50 and 236,587.50

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Solution

The third proportional to 153,139.50 and 236,587.50 is: 365,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,139.50 : 236,587.50 = 236,587.50 : x
  2. Step 2: Convert to fraction form
    153,139.50/236,587.50 = 236,587.50/x
  3. Step 3: Cross multiply
    153,139.50x = 236,587.50 × 236,587.50
  4. Step 4: Simplify right side
    153,139.50x = 55,973,645,156.25
  5. Step 5: Solve for x
    x = 55,973,645,156.25/153,139.50
  6. Step 6: Final answer
    x = 365,507.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.