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Finding the Third Proportional to 245,666 and 375,555

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Solution

The third proportional to 245,666 and 375,555 is: 574,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,666 : 375,555 = 375,555 : x
  2. Step 2: Convert to fraction form
    245,666/375,555 = 375,555/x
  3. Step 3: Cross multiply
    245,666x = 375,555 × 375,555
  4. Step 4: Simplify right side
    245,666x = 141,041,558,025
  5. Step 5: Solve for x
    x = 141,041,558,025/245,666
  6. Step 6: Final answer
    x = 574,119.16

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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.