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Finding the Third Proportional to 156,602 and 341,430

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Solution

The third proportional to 156,602 and 341,430 is: 744,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,602 : 341,430 = 341,430 : x
  2. Step 2: Convert to fraction form
    156,602/341,430 = 341,430/x
  3. Step 3: Cross multiply
    156,602x = 341,430 × 341,430
  4. Step 4: Simplify right side
    156,602x = 116,574,444,900
  5. Step 5: Solve for x
    x = 116,574,444,900/156,602
  6. Step 6: Final answer
    x = 744,399.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.