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Finding the Third Proportional to 130,316 and 174,304

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Solution

The third proportional to 130,316 and 174,304 is: 233,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,316 : 174,304 = 174,304 : x
  2. Step 2: Convert to fraction form
    130,316/174,304 = 174,304/x
  3. Step 3: Cross multiply
    130,316x = 174,304 × 174,304
  4. Step 4: Simplify right side
    130,316x = 30,381,884,416
  5. Step 5: Solve for x
    x = 30,381,884,416/130,316
  6. Step 6: Final answer
    x = 233,140.09

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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.