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Finding the Third Proportional to 228,160 and 549,664

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Solution

The third proportional to 228,160 and 549,664 is: 1,324,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,160 : 549,664 = 549,664 : x
  2. Step 2: Convert to fraction form
    228,160/549,664 = 549,664/x
  3. Step 3: Cross multiply
    228,160x = 549,664 × 549,664
  4. Step 4: Simplify right side
    228,160x = 302,130,512,896
  5. Step 5: Solve for x
    x = 302,130,512,896/228,160
  6. Step 6: Final answer
    x = 1,324,204.56

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.