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Finding the Third Proportional to 147,782.63 and 229,297.88

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Solution

The third proportional to 147,782.63 and 229,297.88 is: 355,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,782.63 : 229,297.88 = 229,297.88 : x
  2. Step 2: Convert to fraction form
    147,782.63/229,297.88 = 229,297.88/x
  3. Step 3: Cross multiply
    147,782.63x = 229,297.88 × 229,297.88
  4. Step 4: Simplify right side
    147,782.63x = 52,577,515,479.52
  5. Step 5: Solve for x
    x = 52,577,515,479.52/147,782.63
  6. Step 6: Final answer
    x = 355,776.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.