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Finding the Third Proportional to 101,316 and 234,547.50

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Solution

The third proportional to 101,316 and 234,547.50 is: 542,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,316 : 234,547.50 = 234,547.50 : x
  2. Step 2: Convert to fraction form
    101,316/234,547.50 = 234,547.50/x
  3. Step 3: Cross multiply
    101,316x = 234,547.50 × 234,547.50
  4. Step 4: Simplify right side
    101,316x = 55,012,529,756.25
  5. Step 5: Solve for x
    x = 55,012,529,756.25/101,316
  6. Step 6: Final answer
    x = 542,979.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.