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Finding the Third Proportional to 245,664 and 375,552

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Solution

The third proportional to 245,664 and 375,552 is: 574,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,664 : 375,552 = 375,552 : x
  2. Step 2: Convert to fraction form
    245,664/375,552 = 375,552/x
  3. Step 3: Cross multiply
    245,664x = 375,552 × 375,552
  4. Step 4: Simplify right side
    245,664x = 141,039,304,704
  5. Step 5: Solve for x
    x = 141,039,304,704/245,664
  6. Step 6: Final answer
    x = 574,114.66

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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.