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Finding the Third Proportional to 156,929 and 348,729

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Solution

The third proportional to 156,929 and 348,729 is: 774,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,929 : 348,729 = 348,729 : x
  2. Step 2: Convert to fraction form
    156,929/348,729 = 348,729/x
  3. Step 3: Cross multiply
    156,929x = 348,729 × 348,729
  4. Step 4: Simplify right side
    156,929x = 121,611,915,441
  5. Step 5: Solve for x
    x = 121,611,915,441/156,929
  6. Step 6: Final answer
    x = 774,948.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.