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Finding the Third Proportional to 152,688 and 228,330

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Solution

The third proportional to 152,688 and 228,330 is: 341,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,688 : 228,330 = 228,330 : x
  2. Step 2: Convert to fraction form
    152,688/228,330 = 228,330/x
  3. Step 3: Cross multiply
    152,688x = 228,330 × 228,330
  4. Step 4: Simplify right side
    152,688x = 52,134,588,900
  5. Step 5: Solve for x
    x = 52,134,588,900/152,688
  6. Step 6: Final answer
    x = 341,445.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.