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Finding the Third Proportional to 147,955 and 319,556.25

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Solution

The third proportional to 147,955 and 319,556.25 is: 690,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,955 : 319,556.25 = 319,556.25 : x
  2. Step 2: Convert to fraction form
    147,955/319,556.25 = 319,556.25/x
  3. Step 3: Cross multiply
    147,955x = 319,556.25 × 319,556.25
  4. Step 4: Simplify right side
    147,955x = 102,116,196,914.06
  5. Step 5: Solve for x
    x = 102,116,196,914.06/147,955
  6. Step 6: Final answer
    x = 690,184.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.