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Finding the Third Proportional to 148,303.50 and 349,663.50

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Solution

The third proportional to 148,303.50 and 349,663.50 is: 824,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,303.50 : 349,663.50 = 349,663.50 : x
  2. Step 2: Convert to fraction form
    148,303.50/349,663.50 = 349,663.50/x
  3. Step 3: Cross multiply
    148,303.50x = 349,663.50 × 349,663.50
  4. Step 4: Simplify right side
    148,303.50x = 122,264,563,232.25
  5. Step 5: Solve for x
    x = 122,264,563,232.25/148,303.50
  6. Step 6: Final answer
    x = 824,421.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.