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Finding the Third Proportional to 158,984 and 349,312

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Solution

The third proportional to 158,984 and 349,312 is: 767,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,984 : 349,312 = 349,312 : x
  2. Step 2: Convert to fraction form
    158,984/349,312 = 349,312/x
  3. Step 3: Cross multiply
    158,984x = 349,312 × 349,312
  4. Step 4: Simplify right side
    158,984x = 122,018,873,344
  5. Step 5: Solve for x
    x = 122,018,873,344/158,984
  6. Step 6: Final answer
    x = 767,491.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.