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Finding the Third Proportional to 156,748 and 228,560

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Solution

The third proportional to 156,748 and 228,560 is: 333,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,748 : 228,560 = 228,560 : x
  2. Step 2: Convert to fraction form
    156,748/228,560 = 228,560/x
  3. Step 3: Cross multiply
    156,748x = 228,560 × 228,560
  4. Step 4: Simplify right side
    156,748x = 52,239,673,600
  5. Step 5: Solve for x
    x = 52,239,673,600/156,748
  6. Step 6: Final answer
    x = 333,271.71

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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.