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Finding the Third Proportional to 148,318 and 307,150.50

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Solution

The third proportional to 148,318 and 307,150.50 is: 636,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,318 : 307,150.50 = 307,150.50 : x
  2. Step 2: Convert to fraction form
    148,318/307,150.50 = 307,150.50/x
  3. Step 3: Cross multiply
    148,318x = 307,150.50 × 307,150.50
  4. Step 4: Simplify right side
    148,318x = 94,341,429,650.25
  5. Step 5: Solve for x
    x = 94,341,429,650.25/148,318
  6. Step 6: Final answer
    x = 636,075.39

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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.