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Finding the Third Proportional to 241,235.63 and 354,836.50

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Solution

The third proportional to 241,235.63 and 354,836.50 is: 521,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,235.63 : 354,836.50 = 354,836.50 : x
  2. Step 2: Convert to fraction form
    241,235.63/354,836.50 = 354,836.50/x
  3. Step 3: Cross multiply
    241,235.63x = 354,836.50 × 354,836.50
  4. Step 4: Simplify right side
    241,235.63x = 125,908,941,732.25
  5. Step 5: Solve for x
    x = 125,908,941,732.25/241,235.63
  6. Step 6: Final answer
    x = 521,933.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.