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Finding the Third Proportional to 115,416 and 249,248

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Solution

The third proportional to 115,416 and 249,248 is: 538,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,416 : 249,248 = 249,248 : x
  2. Step 2: Convert to fraction form
    115,416/249,248 = 249,248/x
  3. Step 3: Cross multiply
    115,416x = 249,248 × 249,248
  4. Step 4: Simplify right side
    115,416x = 62,124,565,504
  5. Step 5: Solve for x
    x = 62,124,565,504/115,416
  6. Step 6: Final answer
    x = 538,266.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.