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Finding the Third Proportional to 153,237.50 and 237,875.25

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Solution

The third proportional to 153,237.50 and 237,875.25 is: 369,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,237.50 : 237,875.25 = 237,875.25 : x
  2. Step 2: Convert to fraction form
    153,237.50/237,875.25 = 237,875.25/x
  3. Step 3: Cross multiply
    153,237.50x = 237,875.25 × 237,875.25
  4. Step 4: Simplify right side
    153,237.50x = 56,584,634,562.56
  5. Step 5: Solve for x
    x = 56,584,634,562.56/153,237.50
  6. Step 6: Final answer
    x = 369,261.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.