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Finding the Third Proportional to 153,369 and 314,174

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Solution

The third proportional to 153,369 and 314,174 is: 643,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,369 : 314,174 = 314,174 : x
  2. Step 2: Convert to fraction form
    153,369/314,174 = 314,174/x
  3. Step 3: Cross multiply
    153,369x = 314,174 × 314,174
  4. Step 4: Simplify right side
    153,369x = 98,705,302,276
  5. Step 5: Solve for x
    x = 98,705,302,276/153,369
  6. Step 6: Final answer
    x = 643,580.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.