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Finding the Third Proportional to 156,784 and 228,607

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Solution

The third proportional to 156,784 and 228,607 is: 333,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784 : 228,607 = 228,607 : x
  2. Step 2: Convert to fraction form
    156,784/228,607 = 228,607/x
  3. Step 3: Cross multiply
    156,784x = 228,607 × 228,607
  4. Step 4: Simplify right side
    156,784x = 52,261,160,449
  5. Step 5: Solve for x
    x = 52,261,160,449/156,784
  6. Step 6: Final answer
    x = 333,332.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.