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Finding the Third Proportional to 156,952 and 348,774

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Solution

The third proportional to 156,952 and 348,774 is: 775,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952 : 348,774 = 348,774 : x
  2. Step 2: Convert to fraction form
    156,952/348,774 = 348,774/x
  3. Step 3: Cross multiply
    156,952x = 348,774 × 348,774
  4. Step 4: Simplify right side
    156,952x = 121,643,303,076
  5. Step 5: Solve for x
    x = 121,643,303,076/156,952
  6. Step 6: Final answer
    x = 775,035.06

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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.