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Finding the Third Proportional to 245,472 and 360,152

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Solution

The third proportional to 245,472 and 360,152 is: 528,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,472 : 360,152 = 360,152 : x
  2. Step 2: Convert to fraction form
    245,472/360,152 = 360,152/x
  3. Step 3: Cross multiply
    245,472x = 360,152 × 360,152
  4. Step 4: Simplify right side
    245,472x = 129,709,463,104
  5. Step 5: Solve for x
    x = 129,709,463,104/245,472
  6. Step 6: Final answer
    x = 528,408.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.