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Finding the Third Proportional to 224,315.58 and 492,221.81

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Solution

The third proportional to 224,315.58 and 492,221.81 is: 1,080,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,315.58 : 492,221.81 = 492,221.81 : x
  2. Step 2: Convert to fraction form
    224,315.58/492,221.81 = 492,221.81/x
  3. Step 3: Cross multiply
    224,315.58x = 492,221.81 × 492,221.81
  4. Step 4: Simplify right side
    224,315.58x = 242,282,312,700.79
  5. Step 5: Solve for x
    x = 242,282,312,700.79/224,315.58
  6. Step 6: Final answer
    x = 1,080,095.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.