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Finding the Third Proportional to 152,301 and 328,749

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Solution

The third proportional to 152,301 and 328,749 is: 709,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,301 : 328,749 = 328,749 : x
  2. Step 2: Convert to fraction form
    152,301/328,749 = 328,749/x
  3. Step 3: Cross multiply
    152,301x = 328,749 × 328,749
  4. Step 4: Simplify right side
    152,301x = 108,075,905,001
  5. Step 5: Solve for x
    x = 108,075,905,001/152,301
  6. Step 6: Final answer
    x = 709,620.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.