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Finding the Third Proportional to 225,888 and 357,328

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Solution

The third proportional to 225,888 and 357,328 is: 565,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,888 : 357,328 = 357,328 : x
  2. Step 2: Convert to fraction form
    225,888/357,328 = 357,328/x
  3. Step 3: Cross multiply
    225,888x = 357,328 × 357,328
  4. Step 4: Simplify right side
    225,888x = 127,683,299,584
  5. Step 5: Solve for x
    x = 127,683,299,584/225,888
  6. Step 6: Final answer
    x = 565,250.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.