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Finding the Third Proportional to 153,402 and 336,324

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Solution

The third proportional to 153,402 and 336,324 is: 737,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,402 : 336,324 = 336,324 : x
  2. Step 2: Convert to fraction form
    153,402/336,324 = 336,324/x
  3. Step 3: Cross multiply
    153,402x = 336,324 × 336,324
  4. Step 4: Simplify right side
    153,402x = 113,113,832,976
  5. Step 5: Solve for x
    x = 113,113,832,976/153,402
  6. Step 6: Final answer
    x = 737,368.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.