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Finding the Third Proportional to 147,097 and 227,302.25

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Solution

The third proportional to 147,097 and 227,302.25 is: 351,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,097 : 227,302.25 = 227,302.25 : x
  2. Step 2: Convert to fraction form
    147,097/227,302.25 = 227,302.25/x
  3. Step 3: Cross multiply
    147,097x = 227,302.25 × 227,302.25
  4. Step 4: Simplify right side
    147,097x = 51,666,312,855.06
  5. Step 5: Solve for x
    x = 51,666,312,855.06/147,097
  6. Step 6: Final answer
    x = 351,239.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.