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Finding the Third Proportional to 163,152 and 229,755

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Solution

The third proportional to 163,152 and 229,755 is: 323,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,152 : 229,755 = 229,755 : x
  2. Step 2: Convert to fraction form
    163,152/229,755 = 229,755/x
  3. Step 3: Cross multiply
    163,152x = 229,755 × 229,755
  4. Step 4: Simplify right side
    163,152x = 52,787,360,025
  5. Step 5: Solve for x
    x = 52,787,360,025/163,152
  6. Step 6: Final answer
    x = 323,547.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.