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Finding the Third Proportional to 187,320 and 401,437.50

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Solution

The third proportional to 187,320 and 401,437.50 is: 860,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,320 : 401,437.50 = 401,437.50 : x
  2. Step 2: Convert to fraction form
    187,320/401,437.50 = 401,437.50/x
  3. Step 3: Cross multiply
    187,320x = 401,437.50 × 401,437.50
  4. Step 4: Simplify right side
    187,320x = 161,152,066,406.25
  5. Step 5: Solve for x
    x = 161,152,066,406.25/187,320
  6. Step 6: Final answer
    x = 860,303.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.