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Finding the Third Proportional to 153,623 and 314,625.50

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Solution

The third proportional to 153,623 and 314,625.50 is: 644,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,623 : 314,625.50 = 314,625.50 : x
  2. Step 2: Convert to fraction form
    153,623/314,625.50 = 314,625.50/x
  3. Step 3: Cross multiply
    153,623x = 314,625.50 × 314,625.50
  4. Step 4: Simplify right side
    153,623x = 98,989,205,250.25
  5. Step 5: Solve for x
    x = 98,989,205,250.25/153,623
  6. Step 6: Final answer
    x = 644,364.48

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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.