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Finding the Third Proportional to 256,736.25 and 375,597

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Solution

The third proportional to 256,736.25 and 375,597 is: 549,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,736.25 : 375,597 = 375,597 : x
  2. Step 2: Convert to fraction form
    256,736.25/375,597 = 375,597/x
  3. Step 3: Cross multiply
    256,736.25x = 375,597 × 375,597
  4. Step 4: Simplify right side
    256,736.25x = 141,073,106,409
  5. Step 5: Solve for x
    x = 141,073,106,409/256,736.25
  6. Step 6: Final answer
    x = 549,486.51

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