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Finding the Third Proportional to 156,964 and 341,952

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Solution

The third proportional to 156,964 and 341,952 is: 744,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964 : 341,952 = 341,952 : x
  2. Step 2: Convert to fraction form
    156,964/341,952 = 341,952/x
  3. Step 3: Cross multiply
    156,964x = 341,952 × 341,952
  4. Step 4: Simplify right side
    156,964x = 116,931,170,304
  5. Step 5: Solve for x
    x = 116,931,170,304/156,964
  6. Step 6: Final answer
    x = 744,955.34

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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.