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Finding the Third Proportional to 145,772 and 224,886

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Solution

The third proportional to 145,772 and 224,886 is: 346,937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,772 : 224,886 = 224,886 : x
  2. Step 2: Convert to fraction form
    145,772/224,886 = 224,886/x
  3. Step 3: Cross multiply
    145,772x = 224,886 × 224,886
  4. Step 4: Simplify right side
    145,772x = 50,573,712,996
  5. Step 5: Solve for x
    x = 50,573,712,996/145,772
  6. Step 6: Final answer
    x = 346,937.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.