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Finding the Third Proportional to 146,392.50 and 319,557

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Solution

The third proportional to 146,392.50 and 319,557 is: 697,554.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,392.50 : 319,557 = 319,557 : x
  2. Step 2: Convert to fraction form
    146,392.50/319,557 = 319,557/x
  3. Step 3: Cross multiply
    146,392.50x = 319,557 × 319,557
  4. Step 4: Simplify right side
    146,392.50x = 102,116,676,249
  5. Step 5: Solve for x
    x = 102,116,676,249/146,392.50
  6. Step 6: Final answer
    x = 697,554.02

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