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Finding the Third Proportional to 153,458 and 333,160

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Solution

The third proportional to 153,458 and 333,160 is: 723,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,458 : 333,160 = 333,160 : x
  2. Step 2: Convert to fraction form
    153,458/333,160 = 333,160/x
  3. Step 3: Cross multiply
    153,458x = 333,160 × 333,160
  4. Step 4: Simplify right side
    153,458x = 110,995,585,600
  5. Step 5: Solve for x
    x = 110,995,585,600/153,458
  6. Step 6: Final answer
    x = 723,296.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.