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Finding the Third Proportional to 187,014 and 296,370

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Solution

The third proportional to 187,014 and 296,370 is: 469,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,014 : 296,370 = 296,370 : x
  2. Step 2: Convert to fraction form
    187,014/296,370 = 296,370/x
  3. Step 3: Cross multiply
    187,014x = 296,370 × 296,370
  4. Step 4: Simplify right side
    187,014x = 87,835,176,900
  5. Step 5: Solve for x
    x = 87,835,176,900/187,014
  6. Step 6: Final answer
    x = 469,671.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.