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Finding the Third Proportional to 256,768 and 375,642

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Solution

The third proportional to 256,768 and 375,642 is: 549,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,768 : 375,642 = 375,642 : x
  2. Step 2: Convert to fraction form
    256,768/375,642 = 375,642/x
  3. Step 3: Cross multiply
    256,768x = 375,642 × 375,642
  4. Step 4: Simplify right side
    256,768x = 141,106,912,164
  5. Step 5: Solve for x
    x = 141,106,912,164/256,768
  6. Step 6: Final answer
    x = 549,550.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.