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Finding the Third Proportional to 154,534 and 331,246.50

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Solution

The third proportional to 154,534 and 331,246.50 is: 710,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,534 : 331,246.50 = 331,246.50 : x
  2. Step 2: Convert to fraction form
    154,534/331,246.50 = 331,246.50/x
  3. Step 3: Cross multiply
    154,534x = 331,246.50 × 331,246.50
  4. Step 4: Simplify right side
    154,534x = 109,724,243,762.25
  5. Step 5: Solve for x
    x = 109,724,243,762.25/154,534
  6. Step 6: Final answer
    x = 710,033.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.