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Finding the Third Proportional to 156,746 and 228,557

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Solution

The third proportional to 156,746 and 228,557 is: 333,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,746 : 228,557 = 228,557 : x
  2. Step 2: Convert to fraction form
    156,746/228,557 = 228,557/x
  3. Step 3: Cross multiply
    156,746x = 228,557 × 228,557
  4. Step 4: Simplify right side
    156,746x = 52,238,302,249
  5. Step 5: Solve for x
    x = 52,238,302,249/156,746
  6. Step 6: Final answer
    x = 333,267.21

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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.