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Finding the Third Proportional to 147,106 and 314,948

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Solution

The third proportional to 147,106 and 314,948 is: 674,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,106 : 314,948 = 314,948 : x
  2. Step 2: Convert to fraction form
    147,106/314,948 = 314,948/x
  3. Step 3: Cross multiply
    147,106x = 314,948 × 314,948
  4. Step 4: Simplify right side
    147,106x = 99,192,242,704
  5. Step 5: Solve for x
    x = 99,192,242,704/147,106
  6. Step 6: Final answer
    x = 674,290.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.