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Finding the Third Proportional to 152,955 and 335,454

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Solution

The third proportional to 152,955 and 335,454 is: 735,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,955 : 335,454 = 335,454 : x
  2. Step 2: Convert to fraction form
    152,955/335,454 = 335,454/x
  3. Step 3: Cross multiply
    152,955x = 335,454 × 335,454
  4. Step 4: Simplify right side
    152,955x = 112,529,386,116
  5. Step 5: Solve for x
    x = 112,529,386,116/152,955
  6. Step 6: Final answer
    x = 735,702.57

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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.