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Finding the Third Proportional to 132,750.56 and 210,308.06

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Solution

The third proportional to 132,750.56 and 210,308.06 is: 333,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,750.56 : 210,308.06 = 210,308.06 : x
  2. Step 2: Convert to fraction form
    132,750.56/210,308.06 = 210,308.06/x
  3. Step 3: Cross multiply
    132,750.56x = 210,308.06 × 210,308.06
  4. Step 4: Simplify right side
    132,750.56x = 44,229,481,152.50
  5. Step 5: Solve for x
    x = 44,229,481,152.50/132,750.56
  6. Step 6: Final answer
    x = 333,177.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.