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Finding the Third Proportional to 156,864 and 236,758.50

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Solution

The third proportional to 156,864 and 236,758.50 is: 357,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,864 : 236,758.50 = 236,758.50 : x
  2. Step 2: Convert to fraction form
    156,864/236,758.50 = 236,758.50/x
  3. Step 3: Cross multiply
    156,864x = 236,758.50 × 236,758.50
  4. Step 4: Simplify right side
    156,864x = 56,054,587,322.25
  5. Step 5: Solve for x
    x = 56,054,587,322.25/156,864
  6. Step 6: Final answer
    x = 357,345.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.