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Finding the Third Proportional to 152,430 and 350,583

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Solution

The third proportional to 152,430 and 350,583 is: 806,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,430 : 350,583 = 350,583 : x
  2. Step 2: Convert to fraction form
    152,430/350,583 = 350,583/x
  3. Step 3: Cross multiply
    152,430x = 350,583 × 350,583
  4. Step 4: Simplify right side
    152,430x = 122,908,439,889
  5. Step 5: Solve for x
    x = 122,908,439,889/152,430
  6. Step 6: Final answer
    x = 806,327.10

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.