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Finding the Third Proportional to 147,553 and 316,611.50

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Solution

The third proportional to 147,553 and 316,611.50 is: 679,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,553 : 316,611.50 = 316,611.50 : x
  2. Step 2: Convert to fraction form
    147,553/316,611.50 = 316,611.50/x
  3. Step 3: Cross multiply
    147,553x = 316,611.50 × 316,611.50
  4. Step 4: Simplify right side
    147,553x = 100,242,841,932.25
  5. Step 5: Solve for x
    x = 100,242,841,932.25/147,553
  6. Step 6: Final answer
    x = 679,368.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.