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Finding the Third Proportional to 210,726 and 314,841

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Solution

The third proportional to 210,726 and 314,841 is: 470,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,726 : 314,841 = 314,841 : x
  2. Step 2: Convert to fraction form
    210,726/314,841 = 314,841/x
  3. Step 3: Cross multiply
    210,726x = 314,841 × 314,841
  4. Step 4: Simplify right side
    210,726x = 99,124,855,281
  5. Step 5: Solve for x
    x = 99,124,855,281/210,726
  6. Step 6: Final answer
    x = 470,396.89

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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.