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Finding the Third Proportional to 147,403.88 and 233,784

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Solution

The third proportional to 147,403.88 and 233,784 is: 370,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,403.88 : 233,784 = 233,784 : x
  2. Step 2: Convert to fraction form
    147,403.88/233,784 = 233,784/x
  3. Step 3: Cross multiply
    147,403.88x = 233,784 × 233,784
  4. Step 4: Simplify right side
    147,403.88x = 54,654,958,656
  5. Step 5: Solve for x
    x = 54,654,958,656/147,403.88
  6. Step 6: Final answer
    x = 370,783.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.