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Finding the Third Proportional to 160,148 and 235,401

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Solution

The third proportional to 160,148 and 235,401 is: 346,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,148 : 235,401 = 235,401 : x
  2. Step 2: Convert to fraction form
    160,148/235,401 = 235,401/x
  3. Step 3: Cross multiply
    160,148x = 235,401 × 235,401
  4. Step 4: Simplify right side
    160,148x = 55,413,630,801
  5. Step 5: Solve for x
    x = 55,413,630,801/160,148
  6. Step 6: Final answer
    x = 346,015.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.