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Finding the Third Proportional to 255,714.50 and 383,572

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Solution

The third proportional to 255,714.50 and 383,572 is: 575,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,714.50 : 383,572 = 383,572 : x
  2. Step 2: Convert to fraction form
    255,714.50/383,572 = 383,572/x
  3. Step 3: Cross multiply
    255,714.50x = 383,572 × 383,572
  4. Step 4: Simplify right side
    255,714.50x = 147,127,479,184
  5. Step 5: Solve for x
    x = 147,127,479,184/255,714.50
  6. Step 6: Final answer
    x = 575,358.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.