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Finding the Third Proportional to 224,050 and 354,944

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Solution

The third proportional to 224,050 and 354,944 is: 562,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,050 : 354,944 = 354,944 : x
  2. Step 2: Convert to fraction form
    224,050/354,944 = 354,944/x
  3. Step 3: Cross multiply
    224,050x = 354,944 × 354,944
  4. Step 4: Simplify right side
    224,050x = 125,985,243,136
  5. Step 5: Solve for x
    x = 125,985,243,136/224,050
  6. Step 6: Final answer
    x = 562,308.61

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