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Finding the Third Proportional to 160,158 and 245,666.25

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Solution

The third proportional to 160,158 and 245,666.25 is: 376,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,158 : 245,666.25 = 245,666.25 : x
  2. Step 2: Convert to fraction form
    160,158/245,666.25 = 245,666.25/x
  3. Step 3: Cross multiply
    160,158x = 245,666.25 × 245,666.25
  4. Step 4: Simplify right side
    160,158x = 60,351,906,389.06
  5. Step 5: Solve for x
    x = 60,351,906,389.06/160,158
  6. Step 6: Final answer
    x = 376,827.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.