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Finding the Third Proportional to 143,548 and 314,310

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Solution

The third proportional to 143,548 and 314,310 is: 688,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,548 : 314,310 = 314,310 : x
  2. Step 2: Convert to fraction form
    143,548/314,310 = 314,310/x
  3. Step 3: Cross multiply
    143,548x = 314,310 × 314,310
  4. Step 4: Simplify right side
    143,548x = 98,790,776,100
  5. Step 5: Solve for x
    x = 98,790,776,100/143,548
  6. Step 6: Final answer
    x = 688,207.26

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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.