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Finding the Third Proportional to 148,320 and 307,155

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Solution

The third proportional to 148,320 and 307,155 is: 636,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,320 : 307,155 = 307,155 : x
  2. Step 2: Convert to fraction form
    148,320/307,155 = 307,155/x
  3. Step 3: Cross multiply
    148,320x = 307,155 × 307,155
  4. Step 4: Simplify right side
    148,320x = 94,344,194,025
  5. Step 5: Solve for x
    x = 94,344,194,025/148,320
  6. Step 6: Final answer
    x = 636,085.45

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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.