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Finding the Third Proportional to 153,555.75 and 236,894.63

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Solution

The third proportional to 153,555.75 and 236,894.63 is: 365,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,555.75 : 236,894.63 = 236,894.63 : x
  2. Step 2: Convert to fraction form
    153,555.75/236,894.63 = 236,894.63/x
  3. Step 3: Cross multiply
    153,555.75x = 236,894.63 × 236,894.63
  4. Step 4: Simplify right side
    153,555.75x = 56,119,063,353.89
  5. Step 5: Solve for x
    x = 56,119,063,353.89/153,555.75
  6. Step 6: Final answer
    x = 365,463.77

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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.