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Finding the Third Proportional to 147,987 and 314,421.75

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Solution

The third proportional to 147,987 and 314,421.75 is: 668,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,987 : 314,421.75 = 314,421.75 : x
  2. Step 2: Convert to fraction form
    147,987/314,421.75 = 314,421.75/x
  3. Step 3: Cross multiply
    147,987x = 314,421.75 × 314,421.75
  4. Step 4: Simplify right side
    147,987x = 98,861,036,873.06
  5. Step 5: Solve for x
    x = 98,861,036,873.06/147,987
  6. Step 6: Final answer
    x = 668,038.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.