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Finding the Third Proportional to 256,738 and 375,600

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Solution

The third proportional to 256,738 and 375,600 is: 549,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,738 : 375,600 = 375,600 : x
  2. Step 2: Convert to fraction form
    256,738/375,600 = 375,600/x
  3. Step 3: Cross multiply
    256,738x = 375,600 × 375,600
  4. Step 4: Simplify right side
    256,738x = 141,075,360,000
  5. Step 5: Solve for x
    x = 141,075,360,000/256,738
  6. Step 6: Final answer
    x = 549,491.54

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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.