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Finding the Third Proportional to 255,664 and 357,552

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Solution

The third proportional to 255,664 and 357,552 is: 500,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,664 : 357,552 = 357,552 : x
  2. Step 2: Convert to fraction form
    255,664/357,552 = 357,552/x
  3. Step 3: Cross multiply
    255,664x = 357,552 × 357,552
  4. Step 4: Simplify right side
    255,664x = 127,843,432,704
  5. Step 5: Solve for x
    x = 127,843,432,704/255,664
  6. Step 6: Final answer
    x = 500,044.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.