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Finding the Third Proportional to 245,668 and 375,558

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Solution

The third proportional to 245,668 and 375,558 is: 574,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,668 : 375,558 = 375,558 : x
  2. Step 2: Convert to fraction form
    245,668/375,558 = 375,558/x
  3. Step 3: Cross multiply
    245,668x = 375,558 × 375,558
  4. Step 4: Simplify right side
    245,668x = 141,043,811,364
  5. Step 5: Solve for x
    x = 141,043,811,364/245,668
  6. Step 6: Final answer
    x = 574,123.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.