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Finding the Third Proportional to 147,130 and 314,996

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Solution

The third proportional to 147,130 and 314,996 is: 674,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,130 : 314,996 = 314,996 : x
  2. Step 2: Convert to fraction form
    147,130/314,996 = 314,996/x
  3. Step 3: Cross multiply
    147,130x = 314,996 × 314,996
  4. Step 4: Simplify right side
    147,130x = 99,222,480,016
  5. Step 5: Solve for x
    x = 99,222,480,016/147,130
  6. Step 6: Final answer
    x = 674,386.46

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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.