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Finding the Third Proportional to 147,124 and 314,984

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Solution

The third proportional to 147,124 and 314,984 is: 674,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,124 : 314,984 = 314,984 : x
  2. Step 2: Convert to fraction form
    147,124/314,984 = 314,984/x
  3. Step 3: Cross multiply
    147,124x = 314,984 × 314,984
  4. Step 4: Simplify right side
    147,124x = 99,214,920,256
  5. Step 5: Solve for x
    x = 99,214,920,256/147,124
  6. Step 6: Final answer
    x = 674,362.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.