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Finding the Third Proportional to 160,616 and 235,164

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Solution

The third proportional to 160,616 and 235,164 is: 344,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,616 : 235,164 = 235,164 : x
  2. Step 2: Convert to fraction form
    160,616/235,164 = 235,164/x
  3. Step 3: Cross multiply
    160,616x = 235,164 × 235,164
  4. Step 4: Simplify right side
    160,616x = 55,302,106,896
  5. Step 5: Solve for x
    x = 55,302,106,896/160,616
  6. Step 6: Final answer
    x = 344,312.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.