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Finding the Third Proportional to 152,948 and 328,046

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Solution

The third proportional to 152,948 and 328,046 is: 703,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,948 : 328,046 = 328,046 : x
  2. Step 2: Convert to fraction form
    152,948/328,046 = 328,046/x
  3. Step 3: Cross multiply
    152,948x = 328,046 × 328,046
  4. Step 4: Simplify right side
    152,948x = 107,614,178,116
  5. Step 5: Solve for x
    x = 107,614,178,116/152,948
  6. Step 6: Final answer
    x = 703,599.77

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Why These Related Problems?

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