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Finding the Third Proportional to 145,270.50 and 314,668.50

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Solution

The third proportional to 145,270.50 and 314,668.50 is: 681,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,270.50 : 314,668.50 = 314,668.50 : x
  2. Step 2: Convert to fraction form
    145,270.50/314,668.50 = 314,668.50/x
  3. Step 3: Cross multiply
    145,270.50x = 314,668.50 × 314,668.50
  4. Step 4: Simplify right side
    145,270.50x = 99,016,264,892.25
  5. Step 5: Solve for x
    x = 99,016,264,892.25/145,270.50
  6. Step 6: Final answer
    x = 681,599.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.