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Finding the Third Proportional to 141,862.40 and 210,783.87

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Solution

The third proportional to 141,862.40 and 210,783.87 is: 313,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,862.40 : 210,783.87 = 210,783.87 : x
  2. Step 2: Convert to fraction form
    141,862.40/210,783.87 = 210,783.87/x
  3. Step 3: Cross multiply
    141,862.40x = 210,783.87 × 210,783.87
  4. Step 4: Simplify right side
    141,862.40x = 44,429,840,519.11
  5. Step 5: Solve for x
    x = 44,429,840,519.11/141,862.40
  6. Step 6: Final answer
    x = 313,189.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.