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Finding the Third Proportional to 160,602 and 343,428

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Solution

The third proportional to 160,602 and 343,428 is: 734,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,602 : 343,428 = 343,428 : x
  2. Step 2: Convert to fraction form
    160,602/343,428 = 343,428/x
  3. Step 3: Cross multiply
    160,602x = 343,428 × 343,428
  4. Step 4: Simplify right side
    160,602x = 117,942,791,184
  5. Step 5: Solve for x
    x = 117,942,791,184/160,602
  6. Step 6: Final answer
    x = 734,379.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.