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Finding the Third Proportional to 157,561.50 and 229,572

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Solution

The third proportional to 157,561.50 and 229,572 is: 334,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,561.50 : 229,572 = 229,572 : x
  2. Step 2: Convert to fraction form
    157,561.50/229,572 = 229,572/x
  3. Step 3: Cross multiply
    157,561.50x = 229,572 × 229,572
  4. Step 4: Simplify right side
    157,561.50x = 52,703,303,184
  5. Step 5: Solve for x
    x = 52,703,303,184/157,561.50
  6. Step 6: Final answer
    x = 334,493.54

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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.