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Finding the Third Proportional to 162,900 and 238,527

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Solution

The third proportional to 162,900 and 238,527 is: 349,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,900 : 238,527 = 238,527 : x
  2. Step 2: Convert to fraction form
    162,900/238,527 = 238,527/x
  3. Step 3: Cross multiply
    162,900x = 238,527 × 238,527
  4. Step 4: Simplify right side
    162,900x = 56,895,129,729
  5. Step 5: Solve for x
    x = 56,895,129,729/162,900
  6. Step 6: Final answer
    x = 349,264.15

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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.