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Finding the Third Proportional to 145,968 and 314,712

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Solution

The third proportional to 145,968 and 314,712 is: 678,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,968 : 314,712 = 314,712 : x
  2. Step 2: Convert to fraction form
    145,968/314,712 = 314,712/x
  3. Step 3: Cross multiply
    145,968x = 314,712 × 314,712
  4. Step 4: Simplify right side
    145,968x = 99,043,642,944
  5. Step 5: Solve for x
    x = 99,043,642,944/145,968
  6. Step 6: Final answer
    x = 678,529.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.