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Finding the Third Proportional to 224,510.06 and 355,461.75

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Solution

The third proportional to 224,510.06 and 355,461.75 is: 562,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,510.06 : 355,461.75 = 355,461.75 : x
  2. Step 2: Convert to fraction form
    224,510.06/355,461.75 = 355,461.75/x
  3. Step 3: Cross multiply
    224,510.06x = 355,461.75 × 355,461.75
  4. Step 4: Simplify right side
    224,510.06x = 126,353,055,713.06
  5. Step 5: Solve for x
    x = 126,353,055,713.06/224,510.06
  6. Step 6: Final answer
    x = 562,794.62

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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.