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Finding the Third Proportional to 152,428 and 333,914

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Solution

The third proportional to 152,428 and 333,914 is: 731,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,428 : 333,914 = 333,914 : x
  2. Step 2: Convert to fraction form
    152,428/333,914 = 333,914/x
  3. Step 3: Cross multiply
    152,428x = 333,914 × 333,914
  4. Step 4: Simplify right side
    152,428x = 111,498,559,396
  5. Step 5: Solve for x
    x = 111,498,559,396/152,428
  6. Step 6: Final answer
    x = 731,483.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.