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Finding the Third Proportional to 132,438.88 and 290,070.81

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Solution

The third proportional to 132,438.88 and 290,070.81 is: 635,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,438.88 : 290,070.81 = 290,070.81 : x
  2. Step 2: Convert to fraction form
    132,438.88/290,070.81 = 290,070.81/x
  3. Step 3: Cross multiply
    132,438.88x = 290,070.81 × 290,070.81
  4. Step 4: Simplify right side
    132,438.88x = 84,141,076,264.41
  5. Step 5: Solve for x
    x = 84,141,076,264.41/132,438.88
  6. Step 6: Final answer
    x = 635,320.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.