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Finding the Third Proportional to 153,001.50 and 224,835

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Solution

The third proportional to 153,001.50 and 224,835 is: 330,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,001.50 : 224,835 = 224,835 : x
  2. Step 2: Convert to fraction form
    153,001.50/224,835 = 224,835/x
  3. Step 3: Cross multiply
    153,001.50x = 224,835 × 224,835
  4. Step 4: Simplify right side
    153,001.50x = 50,550,777,225
  5. Step 5: Solve for x
    x = 50,550,777,225/153,001.50
  6. Step 6: Final answer
    x = 330,394.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.