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Finding the Third Proportional to 134,752 and 293,408

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Solution

The third proportional to 134,752 and 293,408 is: 638,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,752 : 293,408 = 293,408 : x
  2. Step 2: Convert to fraction form
    134,752/293,408 = 293,408/x
  3. Step 3: Cross multiply
    134,752x = 293,408 × 293,408
  4. Step 4: Simplify right side
    134,752x = 86,088,254,464
  5. Step 5: Solve for x
    x = 86,088,254,464/134,752
  6. Step 6: Final answer
    x = 638,864.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.