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Finding the Third Proportional to 145,850 and 224,998

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Solution

The third proportional to 145,850 and 224,998 is: 347,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,850 : 224,998 = 224,998 : x
  2. Step 2: Convert to fraction form
    145,850/224,998 = 224,998/x
  3. Step 3: Cross multiply
    145,850x = 224,998 × 224,998
  4. Step 4: Simplify right side
    145,850x = 50,624,100,004
  5. Step 5: Solve for x
    x = 50,624,100,004/145,850
  6. Step 6: Final answer
    x = 347,097.02

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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.