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Finding the Third Proportional to 132,647.63 and 286,303.36

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Solution

The third proportional to 132,647.63 and 286,303.36 is: 617,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,647.63 : 286,303.36 = 286,303.36 : x
  2. Step 2: Convert to fraction form
    132,647.63/286,303.36 = 286,303.36/x
  3. Step 3: Cross multiply
    132,647.63x = 286,303.36 × 286,303.36
  4. Step 4: Simplify right side
    132,647.63x = 81,969,613,589.41
  5. Step 5: Solve for x
    x = 81,969,613,589.41/132,647.63
  6. Step 6: Final answer
    x = 617,950.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.