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Finding the Third Proportional to 178,020 and 237,798

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Solution

The third proportional to 178,020 and 237,798 is: 317,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,020 : 237,798 = 237,798 : x
  2. Step 2: Convert to fraction form
    178,020/237,798 = 237,798/x
  3. Step 3: Cross multiply
    178,020x = 237,798 × 237,798
  4. Step 4: Simplify right side
    178,020x = 56,547,888,804
  5. Step 5: Solve for x
    x = 56,547,888,804/178,020
  6. Step 6: Final answer
    x = 317,649.08

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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.