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Finding the Third Proportional to 162,572 and 232,030

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Solution

The third proportional to 162,572 and 232,030 is: 331,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,572 : 232,030 = 232,030 : x
  2. Step 2: Convert to fraction form
    162,572/232,030 = 232,030/x
  3. Step 3: Cross multiply
    162,572x = 232,030 × 232,030
  4. Step 4: Simplify right side
    162,572x = 53,837,920,900
  5. Step 5: Solve for x
    x = 53,837,920,900/162,572
  6. Step 6: Final answer
    x = 331,163.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.