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Finding the Third Proportional to 224,506.69 and 355,456.69

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Solution

The third proportional to 224,506.69 and 355,456.69 is: 562,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,506.69 : 355,456.69 = 355,456.69 : x
  2. Step 2: Convert to fraction form
    224,506.69/355,456.69 = 355,456.69/x
  3. Step 3: Cross multiply
    224,506.69x = 355,456.69 × 355,456.69
  4. Step 4: Simplify right side
    224,506.69x = 126,349,456,688.47
  5. Step 5: Solve for x
    x = 126,349,456,688.47/224,506.69
  6. Step 6: Final answer
    x = 562,787.05

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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.