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Finding the Third Proportional to 150,008 and 219,088.50

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Solution

The third proportional to 150,008 and 219,088.50 is: 319,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,008 : 219,088.50 = 219,088.50 : x
  2. Step 2: Convert to fraction form
    150,008/219,088.50 = 219,088.50/x
  3. Step 3: Cross multiply
    150,008x = 219,088.50 × 219,088.50
  4. Step 4: Simplify right side
    150,008x = 47,999,770,832.25
  5. Step 5: Solve for x
    x = 47,999,770,832.25/150,008
  6. Step 6: Final answer
    x = 319,981.41

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1.5x scale

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.