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Finding the Third Proportional to 160,776 and 352,653.75

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Solution

The third proportional to 160,776 and 352,653.75 is: 773,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,776 : 352,653.75 = 352,653.75 : x
  2. Step 2: Convert to fraction form
    160,776/352,653.75 = 352,653.75/x
  3. Step 3: Cross multiply
    160,776x = 352,653.75 × 352,653.75
  4. Step 4: Simplify right side
    160,776x = 124,364,667,389.06
  5. Step 5: Solve for x
    x = 124,364,667,389.06/160,776
  6. Step 6: Final answer
    x = 773,527.56

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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.