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Finding the Third Proportional to 160,967.53 and 349,637.06

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Solution

The third proportional to 160,967.53 and 349,637.06 is: 759,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,967.53 : 349,637.06 = 349,637.06 : x
  2. Step 2: Convert to fraction form
    160,967.53/349,637.06 = 349,637.06/x
  3. Step 3: Cross multiply
    160,967.53x = 349,637.06 × 349,637.06
  4. Step 4: Simplify right side
    160,967.53x = 122,246,075,473.63
  5. Step 5: Solve for x
    x = 122,246,075,473.63/160,967.53
  6. Step 6: Final answer
    x = 759,445.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.