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Finding the Third Proportional to 235,324 and 360,053

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Solution

The third proportional to 235,324 and 360,053 is: 550,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,324 : 360,053 = 360,053 : x
  2. Step 2: Convert to fraction form
    235,324/360,053 = 360,053/x
  3. Step 3: Cross multiply
    235,324x = 360,053 × 360,053
  4. Step 4: Simplify right side
    235,324x = 129,638,162,809
  5. Step 5: Solve for x
    x = 129,638,162,809/235,324
  6. Step 6: Final answer
    x = 550,892.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.