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Finding the Third Proportional to 147,136 and 233,808

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Solution

The third proportional to 147,136 and 233,808 is: 371,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,136 : 233,808 = 233,808 : x
  2. Step 2: Convert to fraction form
    147,136/233,808 = 233,808/x
  3. Step 3: Cross multiply
    147,136x = 233,808 × 233,808
  4. Step 4: Simplify right side
    147,136x = 54,666,180,864
  5. Step 5: Solve for x
    x = 54,666,180,864/147,136
  6. Step 6: Final answer
    x = 371,535.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.