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Finding the Third Proportional to 161,460 and 348,528

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Solution

The third proportional to 161,460 and 348,528 is: 752,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,460 : 348,528 = 348,528 : x
  2. Step 2: Convert to fraction form
    161,460/348,528 = 348,528/x
  3. Step 3: Cross multiply
    161,460x = 348,528 × 348,528
  4. Step 4: Simplify right side
    161,460x = 121,471,766,784
  5. Step 5: Solve for x
    x = 121,471,766,784/161,460
  6. Step 6: Final answer
    x = 752,333.50

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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.