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Finding the Third Proportional to 178,528 and 370,178

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Solution

The third proportional to 178,528 and 370,178 is: 767,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,528 : 370,178 = 370,178 : x
  2. Step 2: Convert to fraction form
    178,528/370,178 = 370,178/x
  3. Step 3: Cross multiply
    178,528x = 370,178 × 370,178
  4. Step 4: Simplify right side
    178,528x = 137,031,751,684
  5. Step 5: Solve for x
    x = 137,031,751,684/178,528
  6. Step 6: Final answer
    x = 767,564.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.