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Finding the Third Proportional to 153,927.21 and 230,275.72

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Solution

The third proportional to 153,927.21 and 230,275.72 is: 344,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,927.21 : 230,275.72 = 230,275.72 : x
  2. Step 2: Convert to fraction form
    153,927.21/230,275.72 = 230,275.72/x
  3. Step 3: Cross multiply
    153,927.21x = 230,275.72 × 230,275.72
  4. Step 4: Simplify right side
    153,927.21x = 53,026,908,444.85
  5. Step 5: Solve for x
    x = 53,026,908,444.85/153,927.21
  6. Step 6: Final answer
    x = 344,493.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.