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Finding the Third Proportional to 102,432.50 and 224,547.50

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Solution

The third proportional to 102,432.50 and 224,547.50 is: 492,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432.50 : 224,547.50 = 224,547.50 : x
  2. Step 2: Convert to fraction form
    102,432.50/224,547.50 = 224,547.50/x
  3. Step 3: Cross multiply
    102,432.50x = 224,547.50 × 224,547.50
  4. Step 4: Simplify right side
    102,432.50x = 50,421,579,756.25
  5. Step 5: Solve for x
    x = 50,421,579,756.25/102,432.50
  6. Step 6: Final answer
    x = 492,242.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.