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Finding the Third Proportional to 157,470 and 335,964

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Solution

The third proportional to 157,470 and 335,964 is: 716,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,470 : 335,964 = 335,964 : x
  2. Step 2: Convert to fraction form
    157,470/335,964 = 335,964/x
  3. Step 3: Cross multiply
    157,470x = 335,964 × 335,964
  4. Step 4: Simplify right side
    157,470x = 112,871,809,296
  5. Step 5: Solve for x
    x = 112,871,809,296/157,470
  6. Step 6: Final answer
    x = 716,782.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.