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Finding the Third Proportional to 148,316.63 and 307,146.94

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Solution

The third proportional to 148,316.63 and 307,146.94 is: 636,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,316.63 : 307,146.94 = 307,146.94 : x
  2. Step 2: Convert to fraction form
    148,316.63/307,146.94 = 307,146.94/x
  3. Step 3: Cross multiply
    148,316.63x = 307,146.94 × 307,146.94
  4. Step 4: Simplify right side
    148,316.63x = 94,339,241,215.63
  5. Step 5: Solve for x
    x = 94,339,241,215.63/148,316.63
  6. Step 6: Final answer
    x = 636,066.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.