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Finding the Third Proportional to 368.51 and 492.01

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Solution

The third proportional to 368.51 and 492.01 is: 656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.51 : 492.01 = 492.01 : x
  2. Step 2: Convert to fraction form
    368.51/492.01 = 492.01/x
  3. Step 3: Cross multiply
    368.51x = 492.01 × 492.01
  4. Step 4: Simplify right side
    368.51x = 242,075.53
  5. Step 5: Solve for x
    x = 242,075.53/368.51
  6. Step 6: Final answer
    x = 656.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.