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Finding the Third Proportional to 152,416 and 226,416.50

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Solution

The third proportional to 152,416 and 226,416.50 is: 336,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,416 : 226,416.50 = 226,416.50 : x
  2. Step 2: Convert to fraction form
    152,416/226,416.50 = 226,416.50/x
  3. Step 3: Cross multiply
    152,416x = 226,416.50 × 226,416.50
  4. Step 4: Simplify right side
    152,416x = 51,264,431,472.25
  5. Step 5: Solve for x
    x = 51,264,431,472.25/152,416
  6. Step 6: Final answer
    x = 336,345.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.