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Finding the Third Proportional to 233,712 and 346,968

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Solution

The third proportional to 233,712 and 346,968 is: 515,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,712 : 346,968 = 346,968 : x
  2. Step 2: Convert to fraction form
    233,712/346,968 = 346,968/x
  3. Step 3: Cross multiply
    233,712x = 346,968 × 346,968
  4. Step 4: Simplify right side
    233,712x = 120,386,793,024
  5. Step 5: Solve for x
    x = 120,386,793,024/233,712
  6. Step 6: Final answer
    x = 515,107.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.