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Finding the Third Proportional to 160,302 and 250,157.63

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Solution

The third proportional to 160,302 and 250,157.63 is: 390,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,302 : 250,157.63 = 250,157.63 : x
  2. Step 2: Convert to fraction form
    160,302/250,157.63 = 250,157.63/x
  3. Step 3: Cross multiply
    160,302x = 250,157.63 × 250,157.63
  4. Step 4: Simplify right side
    160,302x = 62,578,837,345.64
  5. Step 5: Solve for x
    x = 62,578,837,345.64/160,302
  6. Step 6: Final answer
    x = 390,380.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.