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Finding the Third Proportional to 160,056 and 342,792

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Solution

The third proportional to 160,056 and 342,792 is: 734,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,056 : 342,792 = 342,792 : x
  2. Step 2: Convert to fraction form
    160,056/342,792 = 342,792/x
  3. Step 3: Cross multiply
    160,056x = 342,792 × 342,792
  4. Step 4: Simplify right side
    160,056x = 117,506,355,264
  5. Step 5: Solve for x
    x = 117,506,355,264/160,056
  6. Step 6: Final answer
    x = 734,157.77

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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.