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Finding the Third Proportional to 210,052 and 313,706

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Solution

The third proportional to 210,052 and 313,706 is: 468,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,052 : 313,706 = 313,706 : x
  2. Step 2: Convert to fraction form
    210,052/313,706 = 313,706/x
  3. Step 3: Cross multiply
    210,052x = 313,706 × 313,706
  4. Step 4: Simplify right side
    210,052x = 98,411,454,436
  5. Step 5: Solve for x
    x = 98,411,454,436/210,052
  6. Step 6: Final answer
    x = 468,509.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.