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Finding the Third Proportional to 152,046 and 352,359

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Solution

The third proportional to 152,046 and 352,359 is: 816,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,046 : 352,359 = 352,359 : x
  2. Step 2: Convert to fraction form
    152,046/352,359 = 352,359/x
  3. Step 3: Cross multiply
    152,046x = 352,359 × 352,359
  4. Step 4: Simplify right side
    152,046x = 124,156,864,881
  5. Step 5: Solve for x
    x = 124,156,864,881/152,046
  6. Step 6: Final answer
    x = 816,574.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.