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Finding the Third Proportional to 145,837.97 and 224,980.03

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Solution

The third proportional to 145,837.97 and 224,980.03 is: 347,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,837.97 : 224,980.03 = 224,980.03 : x
  2. Step 2: Convert to fraction form
    145,837.97/224,980.03 = 224,980.03/x
  3. Step 3: Cross multiply
    145,837.97x = 224,980.03 × 224,980.03
  4. Step 4: Simplify right side
    145,837.97x = 50,616,014,461.25
  5. Step 5: Solve for x
    x = 50,616,014,461.25/145,837.97
  6. Step 6: Final answer
    x = 347,070.21

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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.